Question 1007501

1)  
{{{log(3, x) = 9}}}

{{{3^9= x}}}......here you have used the relationship:{{{log(b,y) = x}}} is equivalent to (means the exact same thing as)  {{{y = b^x}}}

{{{x=3*3*3*3*3*3*3*3*3}}}

{{{x= 19683}}}

2) 

{{{ log(2, 8) = x}}}.....same explanation here too

{{{8= 2^x}}}....now write {{{8}}} as {{{2^3}}} to have  same base

{{{2^3= 2^x}}} use the rule if bases same, exponents are same too

so, {{{x=3}}}


3)  

{{{ln (x) = 2}}}

{{{e^2 = x}}} since {{{e=2.7182818284590452353602874713526624977572470936999596 }}}, approximately {{{e=2.71828}}}

{{{x=(2.71828)^2}}}

{{{x=7.3891}}}

4)  
{{{log (x) = 5}}}...same explanation here too as in 1 and 2
{{{10^5= x}}}
{{{x=10*10*10*10*10}}}
{{{x=100000}}}