What is the answer to 5^{8x+5}=2 ?

The answer to 5^{8x+5}=2 is x=(ln(2)-5ln(5))/(8ln(5))

Solve for x: 5^{8x+5}=2

The solution is x=(ln(2)-5ln(5))/(8ln(5))

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5^{8 x + 5} = 2

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{8 ln ( 5 )}

Decimal Notation

x = - 0.57116 \dots

Solution steps

5^{8 x + 5} = 2

Apply exponent rules

(8 x + 5) ln (5) = ln (2)

Solve

(8 x + 5) ln (5) = ln (2) : x = \frac{ln ( 2 ) - 5 ln ( 5 )}{8 ln ( 5 )}

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{8 ln ( 5 )}

4^{3} + 4^{3} + 4^{3} + 4^{3} = 6 4^{x}

2^{x + 1} = 5^{2 x - 1}

3 2^{x} = 4

2^{x} = 2^{3}

\frac{2 ^{x}}{1 - 2 ^{x}} = 3

What is the answer to 5^{8x+5}=2 ?
The answer to 5^{8x+5}=2 is x=(ln(2)-5ln(5))/(8ln(5))
Solve for x: 5^{8x+5}=2
The solution is x=(ln(2)-5ln(5))/(8ln(5))