What is the answer to log_{4}(5-x/(30))=3 ?

The answer to log_{4}(5-x/(30))=3 is x=-1770

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log_{4}(5-x/(30))=3

lo g_{4} (5 - \frac{x}{30}) = 3

x = - 1770

Solution steps

lo g_{4} (5 - \frac{x}{30}) = 3

Apply log rules

5 - \frac{x}{30} = 4^{3}

Multiply both sides by

30

5 \cdot 30 - \frac{x}{30} \cdot 30 = 4^{3} \cdot 30

Simplify

150 - x = 1920

Solve

150 - x = 1920 : x = - 1770

x = - 1770

Verify Solutions:

x = - 1770

True

The solution is

x = - 1770

lo g_{x} (\frac{4}{25}) = - 2

ln (x) + ln (x + 1) = ln (20)

lo g_{x} (49) = - 2

ln (3 x - 1) = 2

y, lo g_{e} (y) = a z

What is the answer to log_{4}(5-x/(30))=3 ?
The answer to log_{4}(5-x/(30))=3 is x=-1770
Solve for x: log_{4}(5-x/(30))=3
The solution is x=-1770