Question

Which exponential equation is equivalent to this logarithmic equation?

Answer 1

Answer:

sorry I need points

$\displaystyle B)x = {5}^{9}$

Answer 2

Answer:

$\displaystyle B)x = {5}^{9}$

Step-by-step explanation:

we are given a logarithmic equation

$\displaystyle \log_{5}(x) - \log_{5}(25) = 7$

simplify the log:

$\displaystyle \log_{5}(x) -2 = 7$

add 2 to both sides:

$\displaystyle \log_{5}(x) = 9$

remember that,

$\displaystyle \log_{a}(b) = c \iff {a}^{c} = b$

so we obtain:

$\displaystyle x = {5}^{9}$

hence,

our answer is B)