How do you solve #2^x = 10#?

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How do you solve #2^x = 10#?

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Answer 1 · 2015-05-30T14:54:31

For this kind of question you should use logarithm.
For example;
#a^b = c => log_a(c) =b#
Therefore for our question;
#2^x=10 => log_2(10)=x => x= log_2(2*5) => x= log_2(2) +log_2(5) #
#=> x=1+log_2(5)#
#x= 1+2.32 =ul3.32#

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How do you solve #2^x = 10#?

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