Question

Select the correct answer.

Which logarithmic equation is equivalent to this exponential equation?
12=5^x


A. x=log↓12 5
B. x=log↓5 12
C. 5=log↓x 12
D. 12=log↓5 x​

Answer 1

Answer: To convert the exponential equation 12=5^x to a logarithmic equation, we can use the following formula:

logb(x) = y

is equivalent to

b^y = x

where b is the base of the logarithm.

In this case, we have:

5^x = 12

which is equivalent to:

log5(12) = x

Therefore, the answer is A. x=log↓12 5.