What is expand log_{10}(6^{10}) ?

The solution to expand log_{10}(6^{10}) is 10log_{10}(6)

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expand log_{10}(6^{10})

expand

lo g_{10} (6^{10})

10 lo g_{10} (6)

Decimal Notation

7.78151 \dots

Solution steps

lo g_{10} (6^{10})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (6^{10}) = 10 lo g_{10} (6)

= 10 lo g_{10} (6)

- (\frac{1}{3}) lo g_{2} (\frac{1}{3}) - (\frac{2}{3}) lo g_{2} (\frac{2}{3})

ln (7 \cdot e^{x})

\frac{1}{2} lo g_{10} (b) + 4 lo g_{10} (c)

ln (x + 1) - ln (x)

3 lo g_{5} (3 x + 1) - 2 lo g_{5} (2 x - 1) - lo g_{5} (x)

What is expand log_{10}(6^{10}) ?
The solution to expand log_{10}(6^{10}) is 10log_{10}(6)