Step-by-step explanation:
14*10^0.5w=100
[tex]14*10^{0.5w}=100[/tex]
Solve the equation for w
divide by 14 on both sides
[tex]10^{0.5w}=\frac{100}{14}[/tex]
Convert exponential form into log form
base is 10 so we convert into log form
log (a)= x then a=10^x
[tex]10^{0.5w}=\frac{100}{14}[/tex]
[tex]0.5w = log(\frac{100}{14} )\\0.5w = log(\frac{50}{7} )\\\\[/tex]
divide both sides by 0.5
[tex]0.5w = log(\frac{50}{7} )\\\\\\w= 2 log(\frac{50}{7} )[/tex]
Answer:
[tex]w= 2 log(\frac{50}{7} )[/tex]
