Ava has $400 on her credit card. She bought a laptop for $315, and decided to spend the rest on shirts. The unit price of shirts
1 answer:
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Answer:
Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.
2) Multiply both sides by 27^x - 8.
3) Use the product rule: x^a x^b = x^a+b.
4) Simplify 1 + x - 8 to x - 7.
5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.
6) Use Change of Base Rule.
7) Use rule of 1: log 1 = 0.
8) Simplify 0/log_27 to 0.
9) Add 7 to both sides.
10) Switch sides.
<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>