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

What is the value of x in 2(5^x)=14 A B C or D-example-1
User Hugo Lopes Tavares
by
8.4k points

1 Answer

2 votes

Answer:

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)

User Carl Witthoft
by
7.5k points
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