How do you write log_(1/25)5=-1/2 in exponential form?

2 Answers
Mar 21, 2018

(1/25)^(-1/2)=5

Explanation:

log_ab=x in exponential form is written as a^x=b

Hence log_(1/25)5=-1/2 can be written in exponential form as (1/25)^(-1/2)=5

Mar 21, 2018

5=(1/25)^(-1/2)

Explanation:

"using the "color(blue)"law of logarithms"

•color(white)(x)log_b x=nhArrx=b^n

"here "x=5,b=1/25" and "n=-1/2

rArrlog_(1/25)5=-1/2hArr5=(1/25)^(-1/2)