Given: The equation below
[tex]3^x=21[/tex]
To Determine: The value of x
Solution
Let us apply the exponent rule
[tex]\begin{gathered} 3^x=21 \\ xln3=ln21 \end{gathered}[/tex][tex]\begin{gathered} xln3=ln21 \\ x=\frac{ln21}{ln3} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{3.0445}{1.0986} \\ x=2.7712 \\ x\approx2.77 \end{gathered}[/tex]
Hence, the approximate value of x is 2.77, OPTION A
