Addition of Logarithmic Equation
According to the basic rules of $log$, I'm solving both $log$ terms as for first: base is $3$, $N$ is $9$ so exponent is calculated as $2$, and same for other term. But I'm confused with this '$x$'. Adding both terms $log$ according to my logic will result in $4$. But I know I'm doing something wrong here, how to treat this $x$? Is B the correct answer?
linear-algebra logarithms arithmetic
edited Nov 30 at 15:46
Thomas Shelby
1,393216
asked Nov 30 at 14:29
shawn k
396
add a comment |
According to the basic rules of $log$, I'm solving both $log$ terms as for first: base is $3$, $N$ is $9$ so exponent is calculated as $2$, and same for other term. But I'm confused with this '$x$'. Adding both terms $log$ according to my logic will result in $4$. But I know I'm doing something wrong here, how to treat this $x$? Is B the correct answer?
linear-algebra logarithms arithmetic
edited Nov 30 at 15:46
Thomas Shelby
1,393216
asked Nov 30 at 14:29
shawn k
396
add a comment |
According to the basic rules of $log$, I'm solving both $log$ terms as for first: base is $3$, $N$ is $9$ so exponent is calculated as $2$, and same for other term. But I'm confused with this '$x$'. Adding both terms $log$ according to my logic will result in $4$. But I know I'm doing something wrong here, how to treat this $x$? Is B the correct answer?
linear-algebra logarithms arithmetic
edited Nov 30 at 15:46
Thomas Shelby
1,393216
asked Nov 30 at 14:29
shawn k
396
According to the basic rules of $log$, I'm solving both $log$ terms as for first: base is $3$, $N$ is $9$ so exponent is calculated as $2$, and same for other term. But I'm confused with this '$x$'. Adding both terms $log$ according to my logic will result in $4$. But I know I'm doing something wrong here, how to treat this $x$? Is B the correct answer?
linear-algebra logarithms arithmetic
linear-algebra logarithms arithmetic
edited Nov 30 at 15:46
Thomas Shelby
1,393216
asked Nov 30 at 14:29
shawn k
396
edited Nov 30 at 15:46
Thomas Shelby
1,393216
asked Nov 30 at 14:29
shawn k
396
edited Nov 30 at 15:46
Thomas Shelby
1,393216
edited Nov 30 at 15:46
Thomas Shelby
1,393216
edited Nov 30 at 15:46
Thomas Shelby
1,393216
1,393216
asked Nov 30 at 14:29
shawn k
396
asked Nov 30 at 14:29
shawn k
396
asked Nov 30 at 14:29
shawn k
396
396
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
HINT
Recall that
$$log_3 (9cdot x)=log_3 9+log_3 x$$
then what about $log_2 (4cdot x)$?
answered Nov 30 at 14:32
gimusi
1
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
HINT
Recall that
$$log_3 (9cdot x)=log_3 9+log_3 x$$
then what about $log_2 (4cdot x)$?
answered Nov 30 at 14:32
gimusi
1
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
add a comment |
HINT
Recall that
$$log_3 (9cdot x)=log_3 9+log_3 x$$
then what about $log_2 (4cdot x)$?
answered Nov 30 at 14:32
gimusi
1
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
add a comment |
HINT
Recall that
$$log_3 (9cdot x)=log_3 9+log_3 x$$
then what about $log_2 (4cdot x)$?
answered Nov 30 at 14:32
gimusi
1
HINT
Recall that
$$log_3 (9cdot x)=log_3 9+log_3 x$$
then what about $log_2 (4cdot x)$?
answered Nov 30 at 14:32
gimusi
1
edited Nov 30 at 14:35
answered Nov 30 at 14:32
gimusi
1
answered Nov 30 at 14:32
gimusi
1
answered Nov 30 at 14:32
gimusi
1
1
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
add a comment |
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
1
1
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
@MichaelBurr Looking at the given choices I think that this hint can be useful.
– gimusi
Nov 30 at 14:36
2
2
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
Got it!!! The answer is B. Thank you so much!!
– shawn k
Nov 30 at 14:36
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
@shawnk Exactly! Well done! Bye
– gimusi
Nov 30 at 14:37
add a comment |
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