High School

We appreciate your visit to Rewrite tex 2 x 128 tex as a logarithmic equation A tex log x 128 2 tex B tex log 2 x 128 tex C. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Rewrite [tex]$2^{ x }=128$[/tex] as a logarithmic equation.

A. [tex]\log _x 128=2[/tex]
B. [tex]\log _2 x=128[/tex]
C. [tex]\log _2 128=x[/tex]
D. [tex]\log _{128} x=2[/tex]

Answer :

We start with the exponential equation
[tex]$$
2^x = 128.
$$[/tex]

Recall the definition of a logarithm: if
[tex]$$
a^c = b,
$$[/tex]
then it can be rewritten in logarithmic form as
[tex]$$
\log_a(b) = c.
$$[/tex]

In our problem, we have:
- Base: [tex]$a = 2$[/tex]
- Exponent: [tex]$c = x$[/tex]
- Result: [tex]$b = 128$[/tex]

Using the definition, we rewrite the exponential equation as:
[tex]$$
\log_{2}(128) = x.
$$[/tex]

Thus, the logarithmic form of the equation is [tex]$\boxed{\log_{2}(128) = x}$[/tex].

Moreover, if we calculate the value, we find:
[tex]$$
x = \log_2(128) = 7.
$$[/tex]

So the final answer is [tex]$\log_{2}(128) = x$[/tex], with [tex]$x = 7$[/tex].

Thanks for taking the time to read Rewrite tex 2 x 128 tex as a logarithmic equation A tex log x 128 2 tex B tex log 2 x 128 tex 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