help !!
Estimate the value of x for 2^2=5.
show reasoning. After estimating use the change of base formula and a calculator to find a solution. round to nearest thousandth

Question

help !!
Estimate the value of x for 2^2=5.
show reasoning. After estimating use the change of base formula and a calculator to find a solution. round to nearest thousandth

misty1212 · Answer

HI!!

misty1212 · Answer

some typo here since $2^2=4$ not $5$

anonymous · Answer

hi I'm really short on time doing this last problem out of my 78 problem paper and its due in 10 minutes i just need this last problem figured out.

anonymous · Answer

the paper says estimate the value of x for $$2^{x}=5$$

sweetburger · Answer

ok this i what you do take the logarithm like this log2(5) = x

sweetburger · Answer

log base 2 of 5

sweetburger · Answer

that would give you the value for x

sweetburger · Answer

so the answer to the thousandths would be 2.322

sweetburger · Answer

2^2.322 = 5 check it on your calc

anonymous · Answer

and that would be using the change of base formula, as the problem says after estimating, use the change of base formula and a calculator to find he solution round to nearest thousandth

sweetburger · Answer

i didnt use the change of base formula due to its faster to just take the log but i can if you want me to

anonymous · Answer

yes please that would help a lot :)

sweetburger · Answer

ok so log2(5) can be changed using the change of base formula like this ln(5)/ln(2) and that would still be equivalent to 2.322

anonymous · Answer

okay so 2.322 would be correct correct ?

sweetburger · Answer

yes sir

anonymous · Answer

okay thank you so much you have no idea !!