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can you please help me solve this logarithm function

Can You Please Help Me Solve This Logarithm Function class=

Sagot :

Answer:

I think the solution is x=84 if this is correct can u mark me brainliest

Answer:

  • [tex]\boxed{\sf{x=84}}[/tex]

Step-by-step explanation:

This problem can be solved by using the logarithm function.

Isolate the term of x from one side of the equation.

First, you divide by -6 from both sides.

[tex]\Longrightarrow: \sf{\dfrac{-6\log _3(x-3)}{-6}=\dfrac{-24}{-6}}[/tex]

Solve.

Divide the numbers from left to right.

-24/-6=4

Rewrite the problem down.

[tex]\Longrightarrow: \sf{\log _3(x-3)=4}[/tex]

x-3=81

Add by 3 from both sides.

[tex]\Longrightarrow:\sf{x-3+3=81+3}[/tex]

Solve.

Add the numbers from left to right.

81+3=84

[tex]\Longrightarrow: \boxed{\sf{x=84}}[/tex]

  • Therefore, the solution is x=84, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.