Question

Select the correct answer.

What is the value of x in 2(5^x) = 14?

A.
0.34

B.
1.15

C.
1.21

D.
219.33

Answer 1

Explanation:

here is your solution

First you divide the sides by 2

2(5^x)/2=14/2

5x=7

apply exponent rules

log(5x)=log(7)

Answer is c

//

Answer 2

C

Explanation:

Using the rule of logarithms

ln
`x^(n)` ⇔ nlnx

Given

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

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

xln5 = ln7 ( divide both sides by ln5 )

x =
`(ln7)/(ln5)` ≈ 1.21 ( to 2 dec. places ) → C