solve exponential equation find x if 8^(6x+5)-2/8=0
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Tushar Chandra
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The equation to be solved is 8^(6x+5)-2/8=0
8^(6x+5) = 2/8
=> 2^3^(6x...
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giorgiana1976 | Student
We'll write 8 and 4 as powers of 2:
2^3(6x+5) = 1/2^2
We'll apply the rule of negative power:
1/a^b = a^-b
2^3(6x+5) = 2^-2
Since the bases are matching, we'll apply one to one rule and we'll put equal the exponents.
3(6x+5) = -2
We'll remove the brackets:
18x + 15 + 2 = 0
We'll combine like terms:
18x + 17 = 0
We'll subtract 17 and we'll divide by 18:
x = -17/18
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