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

Mathematics

2 answers:

LekaFEV [45]3 years ago

8 0

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

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

trapecia [35]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

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