What is the answer to 144=60log_{8}(15+x) ?

The answer to 144=60log_{8}(15+x) is x=64*8^{2/5}-15

Solve for x: 144=60log_{8}(15+x)

The solution is x=64*8^{2/5}-15

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144 = 60 lo g_{8} (15 + x)

x = 64 \cdot 8^{\frac{2}{5}} - 15

Decimal Notation

x = 132.03338 \dots

Solution steps

144 = 60 lo g_{8} (15 + x)

Switch sides

60 lo g_{8} (15 + x) = 144

Divide both sides by

60

lo g_{8} (15 + x) = \frac{12}{5}

Apply log rules

15 + x = 64 \cdot 8^{\frac{2}{5}}

Solve

15 + x = 64 \cdot 8^{\frac{2}{5}} : x = 64 \cdot 8^{\frac{2}{5}} - 15

x = 64 \cdot 8^{\frac{2}{5}} - 15

Verify Solutions:

x = 64 \cdot 8^{\frac{2}{5}} - 15

True

The solution is

x = 64 \cdot 8^{\frac{2}{5}} - 15

4 ln (x - 1) = 12

ln (15) = ln^{5} (+ ln (x + 1))

lo g_{2} (14 - 5 x) = 2

lo g_{x} (\frac{16}{81}) = - 4

2 \cdot ln (x) - ln (2) = ln (2 x - 1)

What is the answer to 144=60log_{8}(15+x) ?
The answer to 144=60log_{8}(15+x) is x=64*8^{2/5}-15
Solve for x: 144=60log_{8}(15+x)
The solution is x=64*8^{2/5}-15