What is the answer to 5.5^r=1.6 ?

The answer to 5.5^r=1.6 is r=(ln(1.6))/(ln(5.5))

Solve for r: 5.5^r=1.6

The solution is r=(ln(1.6))/(ln(5.5))

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5. 5^{r} = 1.6

r = \frac{ln ( 1.6 )}{ln ( 5.5 )}

Decimal Notation

r = 0.27570 \dots

Solution steps

5. 5^{r} = 1.6

Apply exponent rules

r ln (5.5) = ln (1.6)

Solve

r ln (5.5) = ln (1.6) : r = \frac{ln ( 1.6 )}{ln ( 5.5 )}

r = \frac{ln ( 1.6 )}{ln ( 5.5 )}

2^{2 x} - 29 (2^{x}) - 96 = 0

8^{12 x} - 8^{6 x} - 56 = 0

9^{1 - 2 x} = \frac{1}{2 7 ^{x - 4}}

5^{3 y} = 64

5 ln (4 - 3^{x}) = 6

What is the answer to 5.5^r=1.6 ?
The answer to 5.5^r=1.6 is r=(ln(1.6))/(ln(5.5))
Solve for r: 5.5^r=1.6
The solution is r=(ln(1.6))/(ln(5.5))