Question

Find the value of x in 8 to the power 2 x divided by 8 to the power minus 5 equal to 8 to the power 7

Answer 1

Answer:

x=1

Step-by-step explanation:

8^2x/8^-5=8^7⇒ 8^2x+5=8^7

2x+5=7⇒2x=7-5=2

x=2/2=1

Answer 2

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$8 {}^{2x} \div 8 {}^{ - 5 } = 8 {}^{7} \\ \frac{8 {}^{2x} }{8 {}^{ - 5} } = 8 {}^{7} \\ 8 {}^{2x + 5 } = 8 {}^{7} \\ 2x + 5 = 7 \\ 2x = 7 - 5 \\ 2x = 2 \\ x = \frac{2}{2} \\ x = 1$
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