What is the answer to 3^{5x+2}=21 ?

The answer to 3^{5x+2}=21 is x=(ln(7/3))/(5ln(3))

Solve for x: 3^{5x+2}=21

The solution is x=(ln(7/3))/(5ln(3))

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3^{5 x + 2} = 21

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

Decimal Notation

x = 0.15424 \dots

Solution steps

3^{5 x + 2} = 21

Apply exponent rules

(5 x + 2) ln (3) = ln (21)

Solve

(5 x + 2) ln (3) = ln (21) : x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

6^{x} = 4

2^{x + 2} - 4^{x + 1} = - 960

5 = 3^{x}

1 7^{x} = 2

3^{2 x - 3} = 27

What is the answer to 3^{5x+2}=21 ?
The answer to 3^{5x+2}=21 is x=(ln(7/3))/(5ln(3))
Solve for x: 3^{5x+2}=21
The solution is x=(ln(7/3))/(5ln(3))