What is the answer to 74=10^{2.37x} ?

The answer to 74=10^{2.37x} is x=(ln(74))/(2.37ln(10))

Solve for x: 74=10^{2.37x}

The solution is x=(ln(74))/(2.37ln(10))

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74 = 1 0^{2.37 x}

x = \frac{ln ( 74 )}{2.37 ln ( 10 )}

Decimal Notation

x = 0.78870 \dots

Solution steps

74 = 1 0^{2.37 x}

Apply exponent rules

ln (74) = 2.37 x ln (10)

Solve

ln (74) = 2.37 x ln (10) : x = \frac{ln ( 74 )}{2.37 ln ( 10 )}

x = \frac{ln ( 74 )}{2.37 ln ( 10 )}

t, x^{4 a} = b^{t}

4^{x} = 3 + 4^{- x}

a, 1 = \frac{e ^{- a}}{b}

1.0 4^{x} = 5

2^{x} = 5^{x + 1}

What is the answer to 74=10^{2.37x} ?
The answer to 74=10^{2.37x} is x=(ln(74))/(2.37ln(10))
Solve for x: 74=10^{2.37x}
The solution is x=(ln(74))/(2.37ln(10))