What is expand log_{10}(9^{15}) ?

The solution to expand log_{10}(9^{15}) is 30log_{10}(3)

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expand log_{10}(9^{15})

expand

lo g_{10} (9^{15})

30 lo g_{10} (3)

Decimal Notation

14.31363 \dots

Solution steps

lo g_{10} (9^{15})

Apply log rule:

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

lo g_{10} (9^{15}) = 15 lo g_{10} (9)

= 15 lo g_{10} (9)

Simplify

lo g_{10} (9) : 2 lo g_{10} (3)

= 15 \cdot 2 lo g_{10} (3)

Multiply the numbers:

15 \cdot 2 = 30

= 30 lo g_{10} (3)

lo g_{e} (7 x)

ln (\frac{3}{2 x})

200 ln (\frac{400}{500 - 490})

2^{\frac{l n ( 3 )}{l n ( 2 ) - l n ( 3 )}}

6 lo g_{3} (5 x + 2) + 5 lo g_{3} (3 x + 6)

What is expand log_{10}(9^{15}) ?
The solution to expand log_{10}(9^{15}) is 30log_{10}(3)