Question

What is the solution to the equation 9 ^3x ≈ 7?

Answer 1

Is it \[9^{3x}\approx 7\] ?

Answer 2

yes

Answer 3

\[\Huge 9^{3x}\approx 7\]
Let us assume it nearly equal.
\[\Huge 3x = \log_9 7\]
\[\Huge x= \frac{\log_9 7}{3}\]

Answer 4

= \[\Huge \frac{\log 7}{3 \log 9 } = \frac{\log 7}{6 \log 3} \]

Answer 5

x is nearly \(\Huge 0.30\)

Answer 6

here are the answer choices
x = 0.376
x = 0.295
x = −0.295
x = −0.376

Answer 7

You can verify it by \[\Large 9^{3 \times 0.30} = 9 ^{ 0.9 } =7.22 ..\]
nearly 7
x is also NEARLY 0.30 (round off..)

Answer 8

0.295 to be exact which I rounded upto 0.30

Answer 9

thank you

Answer 10

uw