$\bf \textit{exponential form of a logarithm}\\\\
log_{{ a}}{{ b}}=y \implies {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\implies log_{{ a}}{{ b}}=y 
\\\\
-------------------------------\\\\$

$\bf 4^y=8\implies log_4(8)=y\qquad 
\begin{cases}
4=2^2\\
8=2^3
\end{cases}\implies (2^2)^y=2^3
\\\\\\
2^{2y}=2^3\impliedby \textit{since the bases are the same, so are the exponents}
\\\\\\
2y=3\implies y=\cfrac{3}{2}\implies y=1\frac{1}{2}\quad thus\quad 
\begin{cases}
x=8\\
y=\frac{3}{2}
\end{cases}$

so.. check your graphs

7 0

4 years ago

I am 24 years old. My age is 2 less than twice my sister's age.

gavmur [86]

Answer: Therefore, the age of my sister is 13 years.

Step-by-step explanation:

Let the age of my sister is x yeas.

Then according to question..

24 = 2x -2

Or, 2x=26

or, x= 26/2

x= 13

4 0

2 years ago

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