What is the answer to 37.5=3^n ?

The answer to 37.5=3^n is n=(ln(37.5))/(ln(3))

Solve for n: 37.5=3^n

The solution is n=(ln(37.5))/(ln(3))

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37.5 = 3^{n}

n = \frac{ln ( 37.5 )}{ln ( 3 )}

Solution steps

37.5 = 3^{n}

Apply exponent rules

ln (37.5) = n ln (3)

Solve

ln (37.5) = n ln (3) : n = \frac{ln ( 37.5 )}{ln ( 3 )}

n = \frac{ln ( 37.5 )}{ln ( 3 )}

3^{- 2 b} = \frac{1}{27}

4^{2 x} - 2 (4^{x}) - 8 = 0

y, x = 1 0^{y} + 4

16 x + e^{- x} - 16 [1 - ln (16)] - 2 = 0

2 = 12 \cdot e^{0.7 \cdot x}