Question

I will fan and medal! please help! Find the value of x in 4000(1.5^x) = 25,000. Show your work.

Answer 1

for any equation, you can try this site. http://www.mathpapa.com/algebra-calculator.html i used it to solve yours, n it shows the steps to solve it too

Answer 2

excellent calculator thanks for the info

Answer 3

\[ 4000 \cdot 1.5^x = 25000 \]
first, divide both sides by 4000
\[ \frac{4000}{4000} \cdot 1.5^x = \frac{25000}{4000}\]

Answer 4

then use this property of logs:
\[ \log a^b = b \log a \]
in other words, "take" the log of both sides
\[ \log 1.5^x = \log \left( \frac{25}{4}\right) \]

Answer 5

Thank yall @phi and @tylermcmullen23