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kompoz [17]
3 years ago
10

How to solve 2^x = 22.5?

Mathematics
2 answers:
Blababa [14]3 years ago
4 0
X=4.491853 is the answer
MatroZZZ [7]3 years ago
4 0
Take the ln of both sides
remember
ln(a^x)=xln(a)
so

ln(2^x)=ln(22.5)
xln(2)=ln(22.5)
divide both sides by ln2
x=ln(22.5)/ln(2)
if you want to evaluate
use calculator
x=4.49185
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Enter number as an integer or decimal.
Strike441 [17]

Answer:

x

Step-by-step explanation:

30-4x>6x-10

Adding 10 to both sides.

10+30-4x>6x-10+10

40-4x>6x

Adding 4x to both sides.

4x+40-4x>6x+4x

40>10x

Dividing both sides by 10.

\frac{40}{10}>\frac{10x}{10}

4>x

∴ x

3 0
3 years ago
Can't figure it out!!
Zanzabum
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x}  \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
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\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}
8 0
3 years ago
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Pavel [41]

Answer:

h^3 = h^m

Step-by-step explanation:

\frac{h^6}{h^3} = h^m

6 - 3 = 3

keep the base same, therefore

h^3 = h^m

Hope this helps!

3 0
3 years ago
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MrRissso [65]
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y−4≤−2x

 Divide both sides by −2
-  y-4/2  ≥ x

 Switch sides
<span>x  ≤  −   y−4/2<span><span><span><span><span>​​</span></span></span>​​





HOPE THIS HELPS!!
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6 0
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schepotkina [342]
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