What is the answer to log_{2}(5x)+2log_{2}(7)=3 ?

The answer to log_{2}(5x)+2log_{2}(7)=3 is x= 8/245

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log_{2}(5x)+2log_{2}(7)=3

lo g_{2} (5 x) + 2 lo g_{2} (7) = 3

x = \frac{8}{245}

Decimal Notation

x = 0.03265 \dots

Solution steps

lo g_{2} (5 x) + 2 lo g_{2} (7) = 3

Move

2 lo g_{2} (7)

to the right side

lo g_{2} (5 x) = 3 - 2 lo g_{2} (7)

Apply log rules

5 x = \frac{8}{49}

Solve

5 x = \frac{8}{49} : x = \frac{8}{245}

x = \frac{8}{245}

Verify Solutions:

x = \frac{8}{245}

True

The solution is

x = \frac{8}{245}

lo g_{3} (x - 1) + lo g_{3} (x + 1) = 1

- 10 = 20 lo g_{10} (x)

lo g_{36} (6^{a}) = a + 1

ln (8 x) - ln (x - 3) = ln (x + 3)

ln (10 + x) = ln (3 + 4 x)

What is the answer to log_{2}(5x)+2log_{2}(7)=3 ?
The answer to log_{2}(5x)+2log_{2}(7)=3 is x= 8/245
Solve for x: log_{2}(5x)+2log_{2}(7)=3
The solution is x= 8/245