What is the answer to 8^r=63 ?

The answer to 8^r=63 is r=(ln(63))/(3ln(2))

The solution is r=(ln(63))/(3ln(2))

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8^r=63

8^{r} = 63

r = \frac{ln ( 63 )}{3 ln ( 2 )}

Decimal Notation

r = 1.99242 \dots

Solution steps

8^{r} = 63

Apply exponent rules

r ln (8) = ln (63)

Solve

r ln (8) = ln (63) : r = \frac{ln ( 63 )}{3 ln ( 2 )}

r = \frac{ln ( 63 )}{3 ln ( 2 )}

2^{x + 1} \cdot 4^{x + 3} = 16

4^{x + 1} = 8^{x}

(\frac{1}{4})^{p} = 4

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

3 \cdot 2^{x} = 5^{x - 1}