Question

Hi, can someone please give me a detailed explanation on how to solve this problem?

Solve 3^(2x+3) = 243 for X

Answer 1

Explanation:

log3^(2x+3) = log243

(2x+3)log3 = log243

2x+3 = log243/log3

2x = (log243/log3)-3

x = [(log243/log3)-3]/2

x = (5-3)/2

x = 2/2

x = 1

Check:

3^2(1)+3 = 243

3^2+3 = 243

3^5 = 243

3×3×3×3×3 = 243

9×9×3 = 243

81×3 = 243

243 = 243