4) Solve the
following exponential equation
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Answer:
x = -4/3
Step-by-step explanation:
Law of exponent – a^m ÷ a^n = a^[m-n]
(9/17)^[x+4] ÷ (9/17)^[-2x] = 1
=> (9/17)^[x+4-(-2x)] = (9/17)^0
Because any number to the power 0 is 1.
=> (9/17)^[x+4+2x] = (9/17)^0
=> (9/17)^[3x+4] = (9/17)^0
When the bases are same, we equate the powers.
=> 3x+4 = 0
=> 3x = -4
=> x = -4/3
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