What is the answer to 7^{5x}=0.25 ?

The answer to 7^{5x}=0.25 is x=(ln(0.25))/(5ln(7))

Solve for x: 7^{5x}=0.25

The solution is x=(ln(0.25))/(5ln(7))

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7^{5 x} = 0.25

x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

Decimal Notation

x = - 0.14248 \dots

Solution steps

7^{5 x} = 0.25

Apply exponent rules

5 x ln (7) = ln (0.25)

Solve

5 x ln (7) = ln (0.25) : x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

x = \frac{ln ( 0.25 )}{5 ln ( 7 )}

3^{x - 2} = 4^{x + 1}

5^{3 - x} = 125

x, 2^{x + 4} = 2^{3 x - 1}

253428 = e^{x + 3} + 2

8^{x + 1} + 8^{x - 1} = 20

What is the answer to 7^{5x}=0.25 ?
The answer to 7^{5x}=0.25 is x=(ln(0.25))/(5ln(7))
Solve for x: 7^{5x}=0.25
The solution is x=(ln(0.25))/(5ln(7))