What is the answer to 7+log_{3}(5x)=8 ?

The answer to 7+log_{3}(5x)=8 is x= 3/5

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7+log_{3}(5x)=8

7 + lo g_{3} (5 x) = 8

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

7 + lo g_{3} (5 x) = 8

Move

7

to the right side

lo g_{3} (5 x) = 1

Apply log rules

5 x = 3

Solve

5 x = 3 : x = \frac{3}{5}

x = \frac{3}{5}

Verify Solutions:

x = \frac{3}{5}

True

The solution is

x = \frac{3}{5}

3 = lo g_{x} (8)

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

lo g_{10} (x) (\frac{1}{8}) = 3

4.87 = - lo g_{10} (x)

ln (x^{2}) + 2 = ln (x^{4})