What is the answer to 16=10^{2+3x} ?

The answer to 16=10^{2+3x} is x=(2ln(2/5))/(3ln(10))

Solve for x: 16=10^{2+3x}

The solution is x=(2ln(2/5))/(3ln(10))

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16 = 1 0^{2 + 3 x}

x = \frac{2 ln ( \frac{2}{5} )}{3 ln ( 10 )}

Decimal Notation

x = - 0.26529 \dots

Solution steps

16 = 1 0^{2 + 3 x}

Apply exponent rules

ln (16) = (2 + 3 x) ln (10)

Solve

ln (16) = (2 + 3 x) ln (10) : x = \frac{2 ln ( \frac{2}{5} )}{3 ln ( 10 )}

x = \frac{2 ln ( \frac{2}{5} )}{3 ln ( 10 )}

7^{2 + x} = 1.4 \cdot 5^{2 + x}

9 \times 8 1^{1 - 2 x} = 2 7^{2 - x}

1 0^{x} = 121

x^{2} e^{x} + 2 x e^{x} = 0

6^{- 2 x} = 6^{3}

What is the answer to 16=10^{2+3x} ?
The answer to 16=10^{2+3x} is x=(2ln(2/5))/(3ln(10))
Solve for x: 16=10^{2+3x}
The solution is x=(2ln(2/5))/(3ln(10))