3 years ago

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

Mathematics

1 answer:

svlad2 [7]3 years ago

5 0

X is about 1.20906195
:)))))))))))))))))))

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The value of x is 1

Explanation:

The equation is $4^x+3=7$

Subtracting both sides by 3, we get,

$4^x=4$

Taking log on both sides, we get,

$\log 4^{x}=\log 4$

Rewriting the equation by $4^{x}=u$

Thus, we have,

$\log u=\log 4$

Applying log rule, if $\log f(x)=\log g(x)$ , then $f(x)=g(x)$

Thus, $u=4$

Substituting $u=4$ in $4^{x}=u$ , we get,

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Also, since, $a^{f(x)}=a^{g(x)}$ , then $f(x)=g(x)$

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