Question

How do I do this
1/3 log(base5) 12x=2

Answer 1

\[\frac{ 1 }{ 3 }\log_{5} (12x) = 2\]
Is that it?

Answer 2

yes

Answer 3

do i put the 1/3 as an exponent

Answer 4

No, but you do need to get rid of it on the left side. So you can multiply both sides by 3 to cancel it.

Answer 5

but what do you do about the log

Answer 6

Then you can turn it into an exponent. So after multiplying by 3, you get
\[\log_{5}(2x)=6 \]
right?

Answer 7

Oops, 12x not 2x

Answer 8

Then you can use these log formulas to change it into exponent form:
\[\log_{b}y=x \] means the same thing as
\[y=b ^{x}\]

Answer 9

so then it would be \[12x=5^{2}\]

Answer 10

5^6, not 5^2

Answer 11

(since we multiplied the 2 by 3 to clear the 1/3)

Answer 12

i mean 6th power

Answer 13

oh ok then i got it thank you so much for your help