What is the answer to 3^{5x-3}=21 ?

The answer to 3^{5x-3}=21 is x=(ln(567))/(5ln(3))

Solve for x: 3^{5x-3}=21

The solution is x=(ln(567))/(5ln(3))

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3^{5 x - 3} = 21

x = \frac{ln ( 567 )}{5 ln ( 3 )}

Decimal Notation

x = 1.15424 \dots

Solution steps

3^{5 x - 3} = 21

Apply exponent rules

(5 x - 3) ln (3) = ln (21)

Solve

(5 x - 3) ln (3) = ln (21) : x = \frac{ln ( 567 )}{5 ln ( 3 )}

x = \frac{ln ( 567 )}{5 ln ( 3 )}

x, 2 e^{x} = e^{3 x}

2^{n} = 32768

3^{2 x + 3} - 55 = 28 (3^{x} - 2)

1 0^{x} = 12 \cdot 1 0^{- x} + 4

What is the answer to 3^{5x-3}=21 ?
The answer to 3^{5x-3}=21 is x=(ln(567))/(5ln(3))
Solve for x: 3^{5x-3}=21
The solution is x=(ln(567))/(5ln(3))