Answer :
Sure, let's work through this step-by-step.
The given logarithmic equation is:
[tex]\[ z = \log_{94} y \][/tex]
We need to express this equation in its exponential form.
In general, if you have a logarithmic equation of the form:
[tex]\[ a = \log_b c \][/tex]
Its equivalent exponential form is:
[tex]\[ b^a = c \][/tex]
Applying this to our specific equation, we have:
[tex]\[ z = \log_{94} y \][/tex]
Here:
- [tex]\( a \)[/tex] is [tex]\( z \)[/tex]
- [tex]\( b \)[/tex] is [tex]\( 94 \)[/tex]
- [tex]\( c \)[/tex] is [tex]\( y \)[/tex]
So, the exponential form will be:
[tex]\[ 94^z = y \][/tex]
Therefore, the correct answer is:
(B) [tex]\( 94^z = y \)[/tex]
The given logarithmic equation is:
[tex]\[ z = \log_{94} y \][/tex]
We need to express this equation in its exponential form.
In general, if you have a logarithmic equation of the form:
[tex]\[ a = \log_b c \][/tex]
Its equivalent exponential form is:
[tex]\[ b^a = c \][/tex]
Applying this to our specific equation, we have:
[tex]\[ z = \log_{94} y \][/tex]
Here:
- [tex]\( a \)[/tex] is [tex]\( z \)[/tex]
- [tex]\( b \)[/tex] is [tex]\( 94 \)[/tex]
- [tex]\( c \)[/tex] is [tex]\( y \)[/tex]
So, the exponential form will be:
[tex]\[ 94^z = y \][/tex]
Therefore, the correct answer is:
(B) [tex]\( 94^z = y \)[/tex]
