What is the answer to 5=1+3.3log_{10}(n) ?

The answer to 5=1+3.3log_{10}(n) is n=10*10^{7/33}

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5=1+3.3log_{10}(n)

5 = 1 + 3.3 lo g_{10} (n)

n = 10 \cdot 1 0^{\frac{7}{33}}

Decimal Notation

n = 16.29750 \dots

Solution steps

5 = 1 + 3.3 lo g_{10} (n)

Switch sides

1 + 3.3 lo g_{10} (n) = 5

Multiply both sides by

10

10 + 33 lo g_{10} (n) = 50

Move

10

to the right side

33 lo g_{10} (n) = 40

Divide both sides by

33

lo g_{10} (n) = \frac{40}{33}

Apply log rules

n = 10 \cdot 1 0^{\frac{7}{33}}

Verify Solutions:

n = 10 \cdot 1 0^{\frac{7}{33}}

True

The solution is

n = 10 \cdot 1 0^{\frac{7}{33}}

lo g_{0.5} (2 x + 59) = - 2

x = ln (- 3 x)

ln (x) + ln (2 x) = 8

ln (x) + ln (2 x) = 7

lo g_{7} (x + 6) = 2

What is the answer to 5=1+3.3log_{10}(n) ?
The answer to 5=1+3.3log_{10}(n) is n=10*10^{7/33}
Solve for n: 5=1+3.3log_{10}(n)
The solution is n=10*10^{7/33}