Answer:
[tex] \displaystyle B)x = {5}^{9} [/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle \log_{5}(x) - \log_{5}(25) = 7[/tex]
simplify the log:
[tex] \displaystyle \log_{5}(x) -2 = 7[/tex]
add 2 to both sides:
[tex] \displaystyle \log_{5}(x) = 9[/tex]
remember that,
[tex] \displaystyle \log_{a}(b) = c \iff {a}^{c} = b[/tex]
so we obtain:
[tex] \displaystyle x = {5}^{9} [/tex]
hence,
our answer is B)
