$500=20(1.5)^{4x}\implies \cfrac{500}{20}=1.5^{4x}\implies 25=1.5^{4x}
\\\\\\
\textit{now, we'll take a common log, any will do, we'll use ln()}
\\\\\\
ln(25)=ln\left(1.5^{4x} \right)\\\\
-----------------------------\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-----------------------------\\\\
thus\implies ln(25)=4xln(1.5)\implies \cfrac{ln(25)}{4ln(1.5)}=x$

6 0

4 years ago

4t + 2u2 - u3 ; t=2 u=1

melisa1 [442]

9, I believe.
4(2)+2(1)^2-(1)^3 (^ just means to the power of "exponent")
8+2-1=9

3 0

4 years ago

What is 180 squared show your work

Alchen [17]

Answer:

32,400

Step-by-step explanation:

180 * 180 + calculator = 32,400

6 0

4 years ago

-4 3/4 divided by 1 1/3

nikklg [1K]

Answer:

-3.5625

Step-by-step explanation:

8 0

3 years ago