Question

SOLVE IT
${4}^{2x + 4} = {8}^{4x - 4}$
__________________________
a. 1 ½
b. 2 ½
c. 3 ½
d. ½

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

${4}^{2x + 4} = \: {8}^{4x - 4} \\ = > {( {2}^{2} )}^{2x + 4} = {( {2}^{3} )}^{4x - 4} \\ = > {2}^{2 \times (2x + 4)} = {2}^{3 \times (4x - 4)} \\ = > {2}^{4x + 8} = {2}^{12x - 12} \\ \\ as \: base \: is \: s \: same \: so \: the \: power \: will \: be \: equal \\ \\ 2x + 8 = 12x - 12 \\ = > 2x - 12x = - 12 - 8 \\ = > - 10x = - 20 \\ = > x = \frac{ - 20}{ - 10} \\ = > x = 2 \: \: ans.$