Question

Log x base 8 = 2.5 and log 2 base y = 5 then find the value x

Answer 1

Step-by-step explanation:

log xbase 8=2.5

logx/log8=2.5

logx=2.5 log8

logx=2.5 log2³

logx=3(2.5)log2

logx=7.5 log 2

log2 base y=5

log2/logy=5

logy=log2/5

logy=1/5(log2)

logy=0.2 log2

logx/logy=7.5log2/0.2log2

logx/logy=7.5/0.2

logx/logy=75/2

logx=75/2logy

logx=log(y^75/2)

x=y^75/2