What is the answer to solvefor x,2^{5x}+2^{8y}=2^{13z} ?

The answer to solvefor x,2^{5x}+2^{8y}=2^{13z} is x=(ln(2^{13z}-2^{8y}))/(5ln(2))

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solvefor x,2^{5x}+2^{8y}=2^{13z}

solve for

x, 2^{5 x} + 2^{8 y} = 2^{13 z}

x = \frac{ln ( 2 ^{13 z} - 2 ^{8 y} )}{5 ln ( 2 )}

Solution steps

2^{5 x} + 2^{8 y} = 2^{13 z}

Move

2^{8 y}

to the right side

2^{5 x} = 2^{13 z} - 2^{8 y}

Simplify

2^{13 z} - 2^{8 y} : 819 2^{z} - 25 6^{y}

2^{5 x} = 819 2^{z} - 25 6^{y}

Apply exponent rules

5 x ln (2) = ln (2^{13 z} - 2^{8 y})

Solve

5 x ln (2) = ln (2^{13 z} - 2^{8 y}) : x = \frac{ln ( 2 ^{13 z} - 2 ^{8 y} )}{5 ln ( 2 )}

x = \frac{ln ( 2 ^{13 z} - 2 ^{8 y} )}{5 ln ( 2 )}

n, x^{n} = 0

x, q (3^{2 x + 1}) = 54

3 \cdot 2^{x + 2} - 5 \cdot 2^{x + 1} - 2^{x} = 2

4^{t} + 6^{t} = 9^{t}

5^{y} = 3^{y + 1}

What is the answer to solvefor x,2^{5x}+2^{8y}=2^{13z} ?
The answer to solvefor x,2^{5x}+2^{8y}=2^{13z} is x=(ln(2^{13z}-2^{8y}))/(5ln(2))