Question

find the the value of x if 3^2x+1=243​

Answer 1

Step-by-step explanation:

Given:

${3}^{2x + 1} = 243$

To find: Value of x

Solution:

Tip: We know that if base are same on both sides of equation we can compare powers.

Step 1: Write RHS in terms of base and power

${3}^{2x + 1} = {3}^{5}$

Step 2: Compare powers (base are same)

$2x + 1 = 5$

Step 3: Solve for x

$2x = 5 - 1 \\ \\ 2x = 4 \\ \\ x = \frac{4}{2} \\ \\ x = 2$

Final answer:

$\bold{\purple{x = 2}}$

Hope it helps you.

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