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Popular >

simplify log_{3/2}(4)

Solution

simplify

lo g_{\frac{3}{2}} (4)

Solution

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

+1

Decimal Notation

3.41902 \dots

Solution steps

lo g_{\frac{3}{2}} (4)

Factor the number:

4 = 2^{2}

= lo g_{\frac{3}{2}} (2^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{\frac{3}{2}} (2^{2}) = 2 lo g_{\frac{3}{2}} (2)

= 2 lo g_{\frac{3}{2}} (2)

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Frequently Asked Questions (FAQ)

What is log_{3/2}(4) ?
The solution to log_{3/2}(4) is 2log_{3/2}(2)