What is the answer to 14^{-x-8}=5^{-4x} ?

The answer to 14^{-x-8}=5^{-4x} is x=(8ln(14))/(-ln(14)+4ln(5))

Solve for x: 14^{-x-8}=5^{-4x}

The solution is x=(8ln(14))/(-ln(14)+4ln(5))

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1 4^{- x - 8} = 5^{- 4 x}

x = \frac{8 ln ( 14 )}{- ln ( 14 ) + 4 ln ( 5 )}

Decimal Notation

x = 5.55781 \dots

Solution steps

1 4^{- x - 8} = 5^{- 4 x}

Apply exponent rules

(- x - 8) ln (14) = - 4 x ln (5)

Solve

(- x - 8) ln (14) = - 4 x ln (5) : x = \frac{8 ln ( 14 )}{- ln ( 14 ) + 4 ln ( 5 )}

x = \frac{8 ln ( 14 )}{- ln ( 14 ) + 4 ln ( 5 )}

\frac{( 3 \cdot 3 ^{5 x} )}{( 9 ^{2 x} )} = \frac{1}{27}

5^{l o g_{2} (x)} = 1

e^{x - 1} = 3^{e - x}

6^{y} = 16

g = \frac{1}{( 2 + e ^{x} )}

What is the answer to 14^{-x-8}=5^{-4x} ?
The answer to 14^{-x-8}=5^{-4x} is x=(8ln(14))/(-ln(14)+4ln(5))
Solve for x: 14^{-x-8}=5^{-4x}
The solution is x=(8ln(14))/(-ln(14)+4ln(5))