Given the equation:

\[ \log_3(2x - 5) = 2 \]

Solve for \( x \) to find why the answer is \(\frac{41}{2}\).

0.954243x−2.385606=2
Let's solve your equation step-by-step.
0.954243x−2.385606=2
Step 1: Add 2.385606 to both sides.
0.954243x−2.385606+2.385606=2+2.385606
0.954243x=4.385606
Step 2: Divide both sides by 0.954243.
0.954243x/0.954243 = 4.385606/0.954243
x=4.595901
Answer:
x=4.595901 ;

Answered by nuneesoofinee | 2024-06-25

To solve the logarithmic equation lo g 3 ​ ( 2 x − 5 ) = 2 , we convert it to exponential form, yielding 2 x − 5 = 9 . After solving, we find x = 7 . The mention of 2 41 ​ doesn't follow through from the derived steps outlined here for base value solutions.
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Answered by nuneesoofinee | 2025-03-26