Answer:
x = 7
Step-by-step explanation:
--> Triangle Similarity Theorem
120 = 8(3x - 6) --> Cross Multiplying
120 = 24x - 48 --> Distributing the 8
24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides
24x = 168 --> Simplifying
24x/24 = 168/24 --> Divide 24 on both sides
x = 7 --> Simplifying
Hope this helped! <3
Answer:
Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:
Therefore:
Now, cancel logarithms by taking exp of both sides:
Multiply both sides by and using distributive propierty:
Substract from both sides and factoring:
Multiply both sides by -1:
Split into two equations:
Solving for
Add 4 to both sides:
Solving for
Collect in terms of x and add to both sides:
Divide both sides by e-2:
The solutions are:
If we evaluate x=4 in the original equation:
This is an absurd because log (x) is undefined for
If we evaluate in the original equation:
Which is correct, therefore the solution is: