What is the answer to 4=8(3)^x-13 ?

The answer to 4=8(3)^x-13 is x=(ln(17/8))/(ln(3))

Solve for x: 4=8(3)^x-13

The solution is x=(ln(17/8))/(ln(3))

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4 = 8 (3)^{x} - 13

x = \frac{ln ( \frac{17}{8} )}{ln ( 3 )}

Decimal Notation

x = 0.68611 \dots

Solution steps

4 = 8 (3)^{x} - 13

Switch sides

8 \cdot 3^{x} - 13 = 4

Move

13

to the right side

8 \cdot 3^{x} = 17

Divide both sides by

8

3^{x} = \frac{17}{8}

Apply exponent rules

x ln (3) = ln (\frac{17}{8})

Solve

x ln (3) = ln (\frac{17}{8}) : x = \frac{ln ( \frac{17}{8} )}{ln ( 3 )}

x = \frac{ln ( \frac{17}{8} )}{ln ( 3 )}

x, z = x e^{x y}

e^{x} + 4 = 29

1 = (\frac{1}{3})^{x}

10 e^{- 8 x} = 2

What is the answer to 4=8(3)^x-13 ?
The answer to 4=8(3)^x-13 is x=(ln(17/8))/(ln(3))
Solve for x: 4=8(3)^x-13
The solution is x=(ln(17/8))/(ln(3))