Question

solve 15^-x=24. Round to the nearest hundredth

Answer 1

x ≈ 2.45

x ≈ -1.29

x ≈ -1.17

x ≈ 1.67

Answer 2

you have
\[ \large 15^{-x}=24 \]
right?

Answer 3

yes

Answer 4

log the both sides

Answer 5

then take logarithms of base 15. so
\[ \large \log_{15}15^{-x}=\log_{15}24 \]
\[ \large -x=\log_{15}24 \]

Answer 6

c?

Answer 7

finally
\[ \large \log_{15}24=\frac{\log 24}{\log 15} \]
use a calculator for this

Answer 8

you got it right!

Answer 9

but use your calculator to be sure

Answer 10

thanks :)