Question

Which of the following exponential equations is equivalent to the logarithmic

Answer 1

Given:

The logarithmic equation is:

$\log 970=x$

To find:

The exponential equations that is equivalent to the given logarithmic equation.

Solution:

Property of logarithm:

If $\log_b a=x$, then $a=b^x$

We know that the base log is always 10 if it is not mentioned.

If $\log a=x$, then $a=10^x$

We have,

$\log 970=x$

Here, base is 10 and the value of a is 970. By using the properties of exponents, we get

$970=10^x$

Interchange the sides, we get

$10^x=970$

Therefore, the correct option is B, i.e., $10^x=970$.

Note: It should be "=" instead of "-" in option B.