Question

Log 625 to the base x =-4
Find x

Answer 1

x = 0.2 is the answer

of this question

Answer 2

The value of x is 1/5.

Step-by-step explanation:

The given equation is

$\log_x(625)=-4$

We need to find the value of x.

Using the properties of log, we get

$625=x^{-4}$        $[\because \log_a(x)=b\Leftrightarrow x=a^b]$

It can we rewritten as

$5^4=x^{-4}$

$(\dfrac{1}{5})^{-4}=x^{-4}$

On comparing both sides, we get

$\dfrac{1}{5}=x$

Therefore, the value of x is 1/5.

#Learn more:

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