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anonymous
 5 years ago
what is 2^x=10
solve for x please show steps
anonymous
 5 years ago
what is 2^x=10 solve for x please show steps

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Regan
 5 years ago
Best ResponseYou've already chosen the best response.12=e^ln(2) e^ln(2)x=10 ln(e^ln(2)x)=ln(10) ln(2)x=ln(10) x=ln(10)/ln(2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you explain it please

Regan
 5 years ago
Best ResponseYou've already chosen the best response.1do you know what a logarithm is?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is that what ln stands foor

Regan
 5 years ago
Best ResponseYou've already chosen the best response.1kind of. ok imagine if we guess some values for x that will be close to 10 2^2=4 2^3=8 2^4=16 so we can imagine x lies in between 3 and 4 do you get that?

Regan
 5 years ago
Best ResponseYou've already chosen the best response.1so we need a method of finding x accurately. so we use logs. logs shift us between bases and powers. we 'log' both sides just as we would when using any function

Regan
 5 years ago
Best ResponseYou've already chosen the best response.1log(2^x)=log(10) the law of exponents say log(2^x)=xlog(2)

Regan
 5 years ago
Best ResponseYou've already chosen the best response.1log(10)/log(2)=x try it out on a calculator the answer will be inbetween 3 and 4
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