Solve 152x = 36. Round to the nearest ten-thousandth

Question

anonymous · Answer

i am going to make a guess that this is 
$$15\times 2^x=36$$ let me know if that is right or if i am mistaken

anonymous · Answer

yes

anonymous · Answer

ok then first step is to divide by 15 to get 
$$2^x=\frac{36}{15}=\frac{12}{5}$$

jiteshmeghwal9 · Answer

now i think u must change this into logarithmic form :)

anonymous · Answer

then to solve $$v^x=A\iff x=\frac{\ln(A)}{\ln(b)}$$ or 
in your case 
$$x=\frac{\ln(2.4)}{\ln(2)}$$

anonymous · Answer

typo there, should be 
$$b^x=A\iff x=\frac{\ln(A)}{\ln(b)}$$ in english 
"the log of the total divided by the log of the base "

anonymous · Answer

since you are going to have to use a calculator it is easier to write $\frac{12}{5}=2.4$

jiteshmeghwal9 · Answer

$$\LARGE{\log_{2}{12/5}=x}$$

jiteshmeghwal9 · Answer

isn't it an easy way @satellite73

anonymous · Answer

@jiteshmeghwal9  it is the same answer, unfortunately you will not get a decimal approximation from this since you do not have log base 2 on your calculator
if you want to know the number as decimal you h ave to use the change of base formula for either base e or base 10 because those are the ones available to you

jiteshmeghwal9 · Answer

k ! thanx @satellite73 :)