How do you write log_x(64)=3logx(64)=3 in exponential form?

2 Answers
May 9, 2018

x^3=64x3=64

Explanation:

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

•color(white)(x)log_b x=nhArrx=b^nxlogbx=nx=bn

"here "x=64,b=x" and "n=3here x=64,b=x and n=3

rArrlog_x 64=3rArrx^3=64logx64=3x3=64

May 9, 2018

64=4^364=43

Explanation:

log_x (64) = 3logx(64)=3

log_x (4^3 )=3logx(43)=3

3log_x 4 = 3 -> x=43logx4=3x=4

Hence, we can express the identity in exponential form as: 64=4^364=43