Question

I need to solve Log base 5 of 5times the squareroot of 5

Answer 1

\[\log_5\big(5\sqrt 5\big)\]

Answer 2

\[\log_a(xy)=\log_a(x)+\log_b(y)\]

Answer 3

3/2

Answer 4

\[\log_a(a)=1\]
\[\log_a(z^n)=n\log_a(z)\]

Answer 5

yes, thank you, but i'm not quite sure how to solve in exponential form. The answer I know is 3/2 but how?

Answer 6

\[\log_5\big(5\sqrt 5\big)=\log_5(5)+\log_5(\sqrt 5)=\log_5(5)+\log_5(5^{1/2})=\log_5(5)+\frac12\log_5(5)\]