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

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

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

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

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ln (5^{8 x + 5}) = ln (2)

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

Decimal Notation

x = - 0.57116 \dots

Solution steps

ln (5^{8 x + 5}) = ln (2)

Rewrite the equation with

5^{8 x + 5} = u

ln (u) = ln (2)

Solve

ln (u) = ln (2) : u = 2

u = 2

Substitute back

u = 5^{8 x + 5},

solve for

x

Solve

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

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

x^{l o g_{2} (x)} = 16

2^{2 x + 3} = 16

90 = 100 - 80 (\frac{39}{40})^{t}

2^{2 x} - 2^{x} - 6 = 0

2^{x + 1} + 2^{x + 3} - 40 = 0

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