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Rewrite to give an equation without logarithm. Do not solve for X. Solve the equation select the correct choice below and if necessary fill in the answer back to complete your choice

Rewrite To Give An Equation Without Logarithm Do Not Solve For X Solve The Equation Select The Correct Choice Below And If Necessary Fill In The Answer Back To class=

Sagot :

Given:

[tex]log_2(2x+9)=2[/tex]

Required:

We need to solve the given equation.

Explanation:

Consider the formula.

[tex]log_a(b)=x\Rightarrow a^x=b.[/tex]

The given equation can be written as follows.

[tex]2^2=2x+9[/tex]

[tex]4=2x+9[/tex]

Solve for x.

[tex]4=2x+9[/tex]

Subtract 9 from both sides of the equation.

[tex]4-9=2x+9-9[/tex]

[tex]-5=2x[/tex]

Divide both sides by 2.

[tex]-\frac{5}{2}=\frac{2x}{2}[/tex][tex]-\frac{5}{2}=x[/tex]

Final answer:

Rewrite the given equation without logrithmic.

[tex]4=2x+9[/tex]

The solution for x.

[tex]x=-\frac{5}{2}[/tex]

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