1First, rewrite the logarithmic inequality in exponential form5^(log5) > 5^2
This simplifies to8x + 1 > 25
Now solve for x8x > 2x > 3
Therefore, the solution to the inequality is x > 3.
2First, distribute the 1/2 to the terms inside the brackets(1/2) 5x - (1/2) 14 < 15x/2 - 7 < 16
Now, add 7 to both sides5x/2 < 23
Multiplying by 2 to remove the fraction5x < 46
Now, divide by 5 to solve for xx < 46/x < 9.2
Therefore, the solution to the inequality is x < 9.2.
1
First, rewrite the logarithmic inequality in exponential form
5^(log5) > 5^2
This simplifies to
8x + 1 > 25
Now solve for x
8x > 2
x > 3
Therefore, the solution to the inequality is x > 3.
2
First, distribute the 1/2 to the terms inside the brackets
(1/2) 5x - (1/2) 14 < 1
5x/2 - 7 < 16
Now, add 7 to both sides
5x/2 < 23
Multiplying by 2 to remove the fraction
5x < 46
Now, divide by 5 to solve for x
x < 46/
x < 9.2
Therefore, the solution to the inequality is x < 9.2.