What is the answer to 10^{3x}=21 ?

The answer to 10^{3x}=21 is x=(ln(21))/(3ln(10))

Solve for x: 10^{3x}=21

The solution is x=(ln(21))/(3ln(10))

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1 0^{3 x} = 21

x = \frac{ln ( 21 )}{3 ln ( 10 )}

Decimal Notation

x = 0.44073 \dots

Solution steps

1 0^{3 x} = 21

Apply exponent rules

3 x ln (10) = ln (21)

Solve

3 x ln (10) = ln (21) : x = \frac{ln ( 21 )}{3 ln ( 10 )}

x = \frac{ln ( 21 )}{3 ln ( 10 )}

24 3^{4 x - 8} = 1

- 343 = (- 7)^{y}

250 e^{- 0.1155 t} = 24

9^{3 x - 2} = 27

2 5^{x} - 4 \cdot 5^{x} = - 4

What is the answer to 10^{3x}=21 ?
The answer to 10^{3x}=21 is x=(ln(21))/(3ln(10))
Solve for x: 10^{3x}=21
The solution is x=(ln(21))/(3ln(10))