Question

What is the value of x in 2(5^x)=14
A
B
C
or
D

Answer 1

D

Explanation:

using the rule of logarithms

log
`x^(n)` = n logx

given

2(
`5^(x)`) = 14 ( divide both sides by 2 )

`5^(x)` = 7 ( take log of both sides )

log
`5^(x)` = log7 , then

xlog5 = log7 ( divide both sides by log5 )

x =
`(log7)/(log5)`