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Sagot :
27 exponent x/3 = 1/81
we can say exponent as power also
(27 power x) × (3 power -1) = 81 power -1
(3 power 3x) × ( 3 power -1) = 3 power -4
IN MULTIPLICATION WHEN BASES ARE SAME THEN POWERS ARE ADDED
3 power 3x + (-1) = 3 power -4
IN AN EQUATION WHEN BASES ARE EQUAL POWERS ALSO EQUAL
3x +(-1) = -4
3x - 1 = -4
3x = -4 + 1
3x = -3
x = -3/3
x = -1
Answer:
x = -1
Step-by-step explanation:
27 exponent x = [tex]27^x[/tex]
Divided by 3 = [tex]\frac{27^x}{3}[/tex]
Is equal to : [tex]\frac{1}{81}[/tex]
Therefore,
[tex]\frac{27^x}{3} = \frac{1}{81}[/tex]
Cross multiplying :
[tex]27^x \times 81 = 1 \times 3[/tex]
[tex]27^x = \frac{3}{81}[/tex]
[tex]27^x = \frac{1}{27}[/tex]
[tex]27^x = 27^{-1}[/tex]
[tex]x = -1[/tex] [tex][a^x = a^y => x = y][/tex]
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