What is the answer to 10^{3x-2}=13 ?

The answer to 10^{3x-2}=13 is x=(ln(1300))/(3ln(10))

Solve for x: 10^{3x-2}=13

The solution is x=(ln(1300))/(3ln(10))

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1 0^{3 x - 2} = 13

x = \frac{ln ( 1300 )}{3 ln ( 10 )}

Decimal Notation

x = 1.03798 \dots

Solution steps

1 0^{3 x - 2} = 13

Apply exponent rules

(3 x - 2) ln (10) = ln (13)

Solve

(3 x - 2) ln (10) = ln (13) : x = \frac{ln ( 1300 )}{3 ln ( 10 )}

x = \frac{ln ( 1300 )}{3 ln ( 10 )}

2 e^{2 x} = 1

2 7^{x} = \frac{9 ^{2 x - 1}}{3 ^{x}}

312 5^{x - 4} = 62 5^{x + 3}

4 \cdot 8^{x - 1} = 3 \cdot 5^{2 x + 1}

2^{x - 3} = 6

What is the answer to 10^{3x-2}=13 ?
The answer to 10^{3x-2}=13 is x=(ln(1300))/(3ln(10))
Solve for x: 10^{3x-2}=13
The solution is x=(ln(1300))/(3ln(10))