what is the solution to 4^2x=about 3?

Question

anonymous · Answer

x = –0.631 

x = –0.396 

x = 0.396 

x = 0.631

anonymous · Answer

$$4^{2x}\approx3$$

amistre64 · Answer

same as 8^x abt 3

amistre64 · Answer

ln8/ln3

anonymous · Answer

so i just divide 8by 3 correct?

amistre64 · Answer

or ..

ln3/2 ln4  maybe more practical here

amistre64 · Answer

4^2x =  3

ln(4^2x) =  ln 3

2x ln(4) =  ln 3

x =  ln (3)/2 ln(4)

anonymous · Answer

ok b\c when i divideed 8 by 3 i got 2.66666666666666.7

amistre64 · Answer

lol  4^2 = 16 not 8 .... forgot how to multiply

anonymous · Answer

opps i feel stupid now

amistre64 · Answer

ln3/ln16  is good

anonymous · Answer

ok so it would be 0.1875

amistre64 · Answer

your not working the ln function ...

amistre64 · Answer

$$\frac{\ln3}{\ln16}\ne\frac{3}{16}$$

anonymous · Answer

i am completely lost

amistre64 · Answer

how so, the answer is right there .... do you not know how to input it into a calcuator?

anonymous · Answer

no i dont have a caculator

amistre64 · Answer

then thats prolly why you are not able to work the logarithm fucntion correctly

amistre64 · Answer

anonymous · Answer

thanks so much

amistre64 · Answer

youre welcome;  i spose we could have done some approximation techniques .... but they can get hairy

anonymous · Answer

lol i apppreciate the help my teacher get mad if i ask her for help