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11 grade maths others

Write log 100 = 2 in exponential form?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To convert the logarithmic equation "log 100 = 2" into exponential form, follow these steps:

The general form of a logarithmic equation is:
log_b(x) = y
which can be rewritten in exponential form as:
b^y = x

In your equation, log 100 = 2, this can be interpreted as:
log_b(100) = 2,
where the base of the logarithm (b) is assumed to be 10 (since the base is not explicitly mentioned, we assume the common logarithm, base 10).

Now, apply the rule to convert it into exponential form:
10^2 = 100

So, the exponential form of log 100 = 2 is:
10^2 = 100