To solve the inequalities, we first need to convert them into exponential form and then solve for x.
1) Log2(x-3) < This can be rewritten as2^(log2(x-3)) < 2^x-3 < x < 5
Therefore, the solution to the first inequality is x < 5.
2) Log8(5x-3) < This can be rewritten as8^(log8(5x-3)) < 8^5x-3 < 65x < 6x < 67/5
Therefore, the solution to the second inequality is x < 67/5.
In conclusion, the solutions to the given inequalities are x < 5 and x < 67/5.
To solve the inequalities, we first need to convert them into exponential form and then solve for x.
1) Log2(x-3) <
This can be rewritten as
2^(log2(x-3)) < 2^
x-3 <
x < 5
Therefore, the solution to the first inequality is x < 5.
2) Log8(5x-3) <
This can be rewritten as
8^(log8(5x-3)) < 8^
5x-3 < 6
5x < 6
x < 67/5
Therefore, the solution to the second inequality is x < 67/5.
In conclusion, the solutions to the given inequalities are x < 5 and x < 67/5.