Question

Find the value of x
Step by step explanation is needed
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Answer 1

Here is Your Answer :-

—>(-5)^x = (-3125) [3125 is power of 5]
—>(-5)^x = (-5)^5
—> x = 5

Hope it Helps You...

Answer 2

Answer:

The value of the exponent $x$ is 5.

Step-by-step explanation:

Given the equation involving exponents,

$(-5)^x=-3125$

We know that the powers of the number are as follows:

$(-5)^2 = (-5)(-5)=25\\\\(-5)^4=(-5)^2\times (-5)^2 = 25\times 25=625$

Also the product

$625\times (-5) = -3125$

So the number -3125 can be written as,

$-3125 = (-5)^5$

Comparing the exponents, we obtain that

$x=5$

is the value.