Question

solve the equation below for x.
4^x=5.6962

Answer 1

round to 2 decimal places

Answer 2

I got 1.25? or 1.26 I think

Answer 3

take the logarithm of base 4 to both side of the equation

Answer 4

yeah that's how I got my answer

Answer 5

1.25 ?

Answer 6

Yep

Answer 7

\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

Answer 8

yes, I just wanted to make sure because my teacher wants us to be very specific on rounding, where I got 1.25 and then 1.26

Answer 9

so I wasn't sure :p

Answer 10

\[4^x=5.6962\\
x=\log_4(5.6962)=\frac{\ln(5.6962)}{\ln(4)}=1.254999900921=1.25 (\text{2dps})\]

Answer 11

thank u both :)