qlogsqrt (x+1)-3logsqrt [3](x) 2x+(1)/(2)=10

Question

Answer 1

Let's solve the given equations step by step.### Equation 1:

First, let's simplify the logarithmic terms:1.

can be written as \((x+1)^{1/2}\).2.

can be written as

.So the equation becomes:

Using the property of logarithms

, we get:

This is the simplified form of the first equation.### Equation 2:

To solve for

, follow these steps:1. Subtract

from both sides:

2. Divide both sides by 2:

So, the solution to the second equation is:

### Summary1. The simplified form of the first equation is:

2. The solution to the second equation is:

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