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Popular >

expand log_{4}(9^3)

Solution

expand

lo g_{4} (9^{3})

Solution

6 lo g_{4} (3)

+1

Decimal Notation

4.75488 \dots

Solution steps

lo g_{4} (9^{3})

Apply log rule:

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

lo g_{4} (9^{3}) = 3 lo g_{4} (9)

= 3 lo g_{4} (9)

Simplify

lo g_{4} (9) : 2 lo g_{4} (3)

= 3 \cdot 2 lo g_{4} (3)

Multiply the numbers:

3 \cdot 2 = 6

= 6 lo g_{4} (3)

Popular Examples

expand log_{10}((xy^4)/(z^5))expand

lo g_{10} (\frac{x y ^{4}}{z ^{5}})

simplify log_{10}((p^3+q)/(1000))simplify

lo g_{10} (\frac{p ^{3} + q}{1000})

expand log_{4}((x^2)/5)expand

lo g_{4} (\frac{x ^{2}}{5})

simplify ln(x^7)-ln(x)simplify

ln (x^{7}) - ln (x)

simplify log_{10}(6)+log_{10}(5)simplify

lo g_{10} (6) + lo g_{10} (5)

Frequently Asked Questions (FAQ)

What is expand log_{4}(9^3) ?
The solution to expand log_{4}(9^3) is 6log_{4}(3)