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

Answer:

C

Step-by-step 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 = $\frac{ln7}{ln5}$ ≈ 1.21 ( to 2 dec. places ) → C

Answer 2

Answer:

Step-by-step 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

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