What is the answer to 7.5^{3r}=2.6 ?

The answer to 7.5^{3r}=2.6 is r=(ln(2.6))/(3ln(7.5))

Solve for r: 7.5^{3r}=2.6

The solution is r=(ln(2.6))/(3ln(7.5))

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7. 5^{3 r} = 2.6

r = \frac{ln ( 2.6 )}{3 ln ( 7.5 )}

Decimal Notation

r = 0.15807 \dots

Solution steps

7. 5^{3 r} = 2.6

Apply exponent rules

3 r ln (7.5) = ln (2.6)

Solve

3 r ln (7.5) = ln (2.6) : r = \frac{ln ( 2.6 )}{3 ln ( 7.5 )}

r = \frac{ln ( 2.6 )}{3 ln ( 7.5 )}

4^{x} - 3 \cdot 2^{x} + 2 = 0

e^{x} + 1 = 6 e^{- x}

3 + 4 e^{x + 1} = 11

254 = 2^{x}

What is the answer to 7.5^{3r}=2.6 ?
The answer to 7.5^{3r}=2.6 is r=(ln(2.6))/(3ln(7.5))
Solve for r: 7.5^{3r}=2.6
The solution is r=(ln(2.6))/(3ln(7.5))