What is the answer to log_{4}((3-x)/7)=1 ?

The answer to log_{4}((3-x)/7)=1 is x=-25

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log_{4}((3-x)/7)=1

lo g_{4} (\frac{3 - x}{7}) = 1

x = - 25

Solution steps

lo g_{4} (\frac{3 - x}{7}) = 1

Apply log rules

\frac{3 - x}{7} = 4^{1}

Multiply both sides by

7

\frac{3 - x}{7} \cdot 7 = 4^{1} \cdot 7

Simplify

3 - x = 28

Solve

3 - x = 28 : x = - 25

x = - 25

Verify Solutions:

x = - 25

True

The solution is

x = - 25

8 lo g_{9} (2) = lo g_{9} (x)

lo g_{10} (x^{2} - 3 x - 10) = 2

- lo g_{10} (x) = 4.5

lo g_{7} (X - 2) + lo g_{7} (X + 2) = 1

lo g_{10} (2 x + 5) = 1

What is the answer to log_{4}((3-x)/7)=1 ?
The answer to log_{4}((3-x)/7)=1 is x=-25
Solve for x: log_{4}((3-x)/7)=1
The solution is x=-25