What is the answer to 5^{7x+5}=3 ?

The answer to 5^{7x+5}=3 is x=(ln(3)-5ln(5))/(7ln(5))

Solve for x: 5^{7x+5}=3

The solution is x=(ln(3)-5ln(5))/(7ln(5))

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5^{7 x + 5} = 3

x = \frac{ln ( 3 ) - 5 ln ( 5 )}{7 ln ( 5 )}

Decimal Notation

x = - 0.61677 \dots

Solution steps

5^{7 x + 5} = 3

Apply exponent rules

(7 x + 5) ln (5) = ln (3)

Solve

(7 x + 5) ln (5) = ln (3) : x = \frac{ln ( 3 ) - 5 ln ( 5 )}{7 ln ( 5 )}

x = \frac{ln ( 3 ) - 5 ln ( 5 )}{7 ln ( 5 )}

4^{4^{n + 7}} = 2^{8^{n - 5}}

2^{n - 7} \cdot 5^{n - 4} = 1250

1 0^{\frac{2 x}{3}} = 15

3^{5 x (- 10)} = 1

x, 2 e^{x} + 3 e^{- 3 x} = 0

What is the answer to 5^{7x+5}=3 ?
The answer to 5^{7x+5}=3 is x=(ln(3)-5ln(5))/(7ln(5))
Solve for x: 5^{7x+5}=3
The solution is x=(ln(3)-5ln(5))/(7ln(5))