What is the answer to 15^{-x+8}=14^{7x} ?

The answer to 15^{-x+8}=14^{7x} is x=(8ln(15))/(7ln(14)+ln(15))

Solve for x: 15^{-x+8}=14^{7x}

The solution is x=(8ln(15))/(7ln(14)+ln(15))

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1 5^{- x + 8} = 1 4^{7 x}

x = \frac{8 ln ( 15 )}{7 ln ( 14 ) + ln ( 15 )}

Decimal Notation

x = 1.02280 \dots

Solution steps

1 5^{- x + 8} = 1 4^{7 x}

Apply exponent rules

(- x + 8) ln (15) = 7 x ln (14)

Solve

(- x + 8) ln (15) = 7 x ln (14) : x = \frac{8 ln ( 15 )}{7 ln ( 14 ) + ln ( 15 )}

x = \frac{8 ln ( 15 )}{7 ln ( 14 ) + ln ( 15 )}

5^{x} - 24 = \frac{5 ^{2}}{5 ^{x}}

n, a = p (1 - r)^{n}

3^{3 x - 5} = 81

x, 3^{x + y} = 5

(\frac{5}{2})^{x} = \frac{3125}{32}

What is the answer to 15^{-x+8}=14^{7x} ?
The answer to 15^{-x+8}=14^{7x} is x=(8ln(15))/(7ln(14)+ln(15))
Solve for x: 15^{-x+8}=14^{7x}
The solution is x=(8ln(15))/(7ln(14)+ln(15))