Question

Which exponential equation is equivalent to the logarithmic equation below?

Answer 1

Answer:

$10^a=982$

Step-by-step explanation:

Given : $\log 987 = a$

To Find: Which exponential equation is equivalent to the logarithmic equation below?

Solution:

$\log 987 = a$

$\log_{10} 987 = a$

$10^{\log_{10} 982} = 10^a$ ---1

Now using property : $a^{\log_{a}x} = x$

So, comparing 1 with property

$982 = 10^a$

Thus Option B is correct.

Hence $10^a=982$ exponential equation is equivalent to the logarithmic equation below

Answer 2

B, raise 10 to the power of both sides of the equation, and when you have 10^log(x), it just becomes x, so 10^a=10^log(987)=987