Question

find the value of x if 6^x X 4^x =576​

Answer 1

Answer:

x=2

Step-by-step explanation:

${6}^{x} \times {4}^{x} = 576 \\ {6}^{x} = {(2 \times 3)}^{x} \\ {4}^{x} = {(2 \times 2)}^{x} \\ 575 = {2}^{6} \times {3}^{2} \\ {2}^{x + x + x} \times {3}^{x} = {2}^{6} \times {3}^{2}$

now bases are same so we take only powers

3x+x=6+2

4x=8

x=2

therefore x=2

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Answer 2

Answer:

Hope it help you for you problem in math