Question

convert each logarithmic equation into its equivalent
a) $log_{3}(9) = 2$
exponential equation
b) $log_{2}(8) = 3$
c) $log_{5}(625) = 4$

Explanation:

Step1: Recall log to exp rule

For $\log_b(x)=y$, equivalent is $b^y=x$

Step2: Apply rule to part (a)

$\log_3(9)=2$ converts to $3^2=9$

Step3: Apply rule to part (b)

$\log_2(8)=3$ converts to $2^3=8$

Step4: Apply rule to part (c)

$\log_5(625)=4$ converts to $5^4=625$

Answer:

a) $3^2=9$
b) $2^3=8$
c) $5^4=625$