Question

What is the solution to the equation below? Round your answer to two
decimal places.
4* = 9.2
O A. x = 0.62
O B. x= 0.96
O c. x= 2.22
O
D. x = 1.60

Answer 1

Answer:

The Solution to the equation 4ˣ = 9.2 is the option D ) x = 1.60

Step-by-step explanation:

Given:

$4^{x}=9.2$

To Find:

x = ?

Solution:

We know Logarithmic identity as

$\log (A)^{B}= B\log A$

$4^{x}=9.2$     .............Given

Taking Log on both the side we have

$\log 4^{x}=\log 9.2\\\textrm{using the above identity we get}\\\\x\log 4 = \log 9.2\\\\x=\frac{\log 9.2}{\log 4} \\\\\therefore x =\frac{0.9637}{0.6020} \\\\\therefore x =1.6008\\\\\therefore x = 1.60$

The Solution to the equation 4ˣ = 9.2 is the option D ) x = 1.60