Question

Which exponential equation is equivalent to the logarithmic equation below?log 784 = aA.10a = 784B.78410 = aC.784a = 10D.a10 = 784

Answer 1

Given the Logarithmic Expression:

$log784=a$

You need to remember that, by definition, a Logarithmic Expression that has this form:

$log_bm=n$

can be rewritten in this Exponential Form:

$b^n=m$

In this case, you can identify that the logarithm has base 10.

Then, you know that:

$\begin{gathered} b=10 \\ m=784 \\ n=a \end{gathered}$

Therefore, you can rewrite the expression in this form:

$10^a=784$

Hence, the answer is: Option A.