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ryzh [129]
3 years ago
12

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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