Question

Which of these equations is the exponential form of log5 125 -1-3?A)(-3)- - 243B)C)5- " ਰੈਲ( (125) -3 = 1,953,125(35) : 30517578125D)

Answer 1

The logarithmic form of an equation can be changed into exponential form via

$y=\log _bx\rightarrow x=b^y$

On the given logarithmic equation

$\log _5\frac{1}{125}=-3$

We have y = -3, x = 1/125, and b = 5. Based on the definition stated above, the logarithmic equation given can be rewritten in exponential form as

$\frac{1}{125}=5^{-3}$

Therefore, the answer is choice B.