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Popular >

5^x-7*5^{x-2}=90

Solution

5^{x} - 7 \cdot 5^{x - 2} = 90

Solution

x = 3

Solution steps

5^{x} - 7 \cdot 5^{x - 2} = 90

Factor

5^{x} - 7 \cdot 5^{x - 2} : 18 \cdot 5^{x - 2}

18 \cdot 5^{x - 2} = 90

Divide both sides by

18

5^{x - 2} = 5

Apply exponent rules

x - 2 = 1

Solve

x - 2 = 1 : x = 3

x = 3

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roots a^{2x}roots

a^{2 x}

Frequently Asked Questions (FAQ)

What is the answer to 5^x-7*5^{x-2}=90 ?
The answer to 5^x-7*5^{x-2}=90 is x=3
Solve for x: 5^x-7*5^{x-2}=90
The solution is x=3