4. 12^2x-1 = (V 12)^x 15points

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asked Nov 9, 2023 41.7k views

4 votes

4.
12^2x-1 = (V 12)^x

15points

Mathematics
high-school

Jomonsugi asked

by Jomonsugi

3.2k points

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1 Answer

5 votes

Answer:

${12}^(2x - 1) = ( \sqrt[4]{12} )x \\ \\ {12}^(2x - 1) = ( {12}^{ (1)/(4) } )x \\ \\ {12}^(2x - 1) = {12}^{ (x)/(4) } \\ \\ 2x - 1 = (x)/(4) \\ \\ 2x * 4 - 4 = (x + 4)/(4) \\ \\ 2x * 4 - 4 = x \\ \\ 8x - 4 = x \\ \\ 8x - x = 4 \\ \\ 7x = 4 \\ \\ x = (7)/(4) \\ \\ x = 3.5$