Question

Solve for x,
a) log x= 3
b) log base 3 (x+2) = 1.732
c) log base 2 (x/10) = -0.671

Answer 1

\[\log(x)\iff x=10^3\]

Answer 2

\[\log_3(x+2)=1.732\iff x+2= 3^{1.732}\iff x=3^{1.732}-2\]

Answer 3

ah thank you!!

Answer 4

Exponentiate each side.
a) log x=3

is equivalent to \[10^{3}=x=1000\]. Remember, a logarithm is an exponent!

b) \[\log _{3}(x+2)=1.732\] written in exponential form, is \[3^{1.732}=x+2\]
Therefore, \[x=3^{1.732}-2\].

Same for part c.
Hope this helps

Answer 5

ok.. so c would be... hmm
x/10= 3^-0.671
x= 3^-0.671/ 10
??? or is that completely wrong? haha

Answer 6

i mean..
x= 3^-0.671*10

Answer 7

damn it am stuck haha