What is the answer to 5-(log_{2}(x/5)-1)=1 ?

The answer to 5-(log_{2}(x/5)-1)=1 is x=160

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5-(log_{2}(x/5)-1)=1

5 - (lo g_{2} (\frac{x}{5}) - 1) = 1

x = 160

Solution steps

5 - (lo g_{2} (\frac{x}{5}) - 1) = 1

Move

5

to the right side

- (lo g_{2} (\frac{x}{5}) - 1) = - 4

Divide both sides by

- 1

lo g_{2} (\frac{x}{5}) - 1 = 4

Move

1

to the right side

lo g_{2} (\frac{x}{5}) = 5

Apply log rules

\frac{x}{5} = 2^{5}

Multiply both sides by

5

\frac{x}{5} \cdot 5 = 2^{5} \cdot 5

Simplify

x = 160

Verify Solutions:

x = 160

True

The solution is

x = 160

lo g_{e} (x) = 5

lo g_{5} (x + 5) = 4

lo g_{a} (x - 2) = 2

ln (e x^{3}) = 3

lo g_{4} (x + 1) + lo g_{4} (5) = 2

What is the answer to 5-(log_{2}(x/5)-1)=1 ?
The answer to 5-(log_{2}(x/5)-1)=1 is x=160
Solve for x: 5-(log_{2}(x/5)-1)=1
The solution is x=160