What is the answer to 8(3^{6-x})=40 ?

The answer to 8(3^{6-x})=40 is x=(-ln(5)+6ln(3))/(ln(3))

Solve for x: 8(3^{6-x})=40

The solution is x=(-ln(5)+6ln(3))/(ln(3))

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8 (3^{6 - x}) = 40

x = \frac{- ln ( 5 ) + 6 ln ( 3 )}{ln ( 3 )}

Decimal Notation

x = 4.53502 \dots

Solution steps

8 (3^{6 - x}) = 40

Divide both sides by

8

3^{6 - x} = 5

Apply exponent rules

(6 - x) ln (3) = ln (5)

Solve

(6 - x) ln (3) = ln (5) : x = \frac{- ln ( 5 ) + 6 ln ( 3 )}{ln ( 3 )}

x = \frac{- ln ( 5 ) + 6 ln ( 3 )}{ln ( 3 )}

5^{3 x} = 4^{2 x + 5}

2^{x} + 8^{x} = 130

4^{- 2 x} = 7

2^{6 x} = 0.125

1 6^{x} = x^{8}

What is the answer to 8(3^{6-x})=40 ?
The answer to 8(3^{6-x})=40 is x=(-ln(5)+6ln(3))/(ln(3))
Solve for x: 8(3^{6-x})=40
The solution is x=(-ln(5)+6ln(3))/(ln(3))