Question

solve the exponential equation for x 625=5^(7x-3)

Answer 1

$625 = 5^{7x-3}$

Create equivalent bases:

$625 = 5^4\\5^4 = 5^{7x-3}$

Since the bases are equal, then exponent1 = exponent2 in order for this equation to be true.

$7x - 3 = 4\\7x = 7\\x = 1$

Check the answer:

$5^{7(1) - 3}\\5^{7 - 3}\\5^4\\625 = 625$

Our answer is correct,

x = 1

Answer 2

The exponential equation for x 625=5^(7x-3) is

How to solve exponential equation?

625=5⁴

⇒5⁴=5^(7x-3)

⇒7x-4=4

⇒7x=8

∴X=8/7

Rules of exponents

• Two powers are are equal if the bases are same.
• Same base are divided than powers are subtracte.
• Same base are multiplied than powers are added.

 

Learn more about exponential equation here: brainly.com/question/2456547

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