Answer :

Let's solve the equation step-by-step:

We start with the equation:

[tex]\[ 4 \cdot 9^x = 20 \][/tex]

1. Isolate the exponential term:

To do this, divide both sides of the equation by 4:

[tex]\[ 9^x = \frac{20}{4} \][/tex]

Simplifying the right side, we get:

[tex]\[ 9^x = 5 \][/tex]

2. Solve for [tex]\(x\)[/tex] using logarithms:

To solve for [tex]\(x\)[/tex], we'll take the logarithm of both sides. You can use any logarithm base, but a common choice is the natural logarithm ([tex]\(\ln\)[/tex]) or common logarithm ([tex]\(\log_{10}\)[/tex]):

[tex]\[ x = \frac{\log(5)}{\log(9)} \][/tex]

This expression gives the exact value of [tex]\(x\)[/tex]. When computed using a calculator, this results in approximately [tex]\( x = 0.73 \)[/tex].

Therefore, the correct value of [tex]\(x\)[/tex] is [tex]\(0.73\)[/tex].

Thanks for taking the time to read What is the value of tex x tex in the equation tex 4 cdot 9 x 20 tex A 0 84 B 1 37 C. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada