Question

10 raised to power X is 64.... Find X

Answer 1

10^x=64

Given equation 10^x=64

Taking log on both sides

log(10^x) = log(64)

xlog10 = log (8^2)

x = 2log(8). (log 10=1)

x= 2log(2^3)

x=6log2

x = 6*0.301. (log2=0.301)

x= 1.806

Therefore the value of X=1.086

Answer 2

10^x=64
2^3+2^x=64
2^x=64/8
2^x=8
2^x=2^3
Therefore,x=3