Question

25 (07.07) Using the graph of f(x) = logox below, approximate the value of y in the equation 107 = 3. (1 point) 4 8 0 O y* 0.48 O y 0.01 O yw 1,48 Oy -2,01

Answer 1

first we try to solve y using ln on both sides

$\ln (10^y)=\ln (3)$

using laws of logarithms we can put y multipliying

$y\ln (10)=\ln (3)$

and solve for y

$\begin{gathered} y=\frac{\ln (3)}{\ln (10)} \\ \\ y\approx0.477 \end{gathered}$

then right option is third, 0.48