Math  /  Algebra

QuestionFind the equivalent equation for 23x=102^{3 x}=10. Options include log210=3x\log _{2} 10=3 x, log2=3x\log 2=3 x, etc.

Studdy Solution
Now, let's compare our result with the given options.
Option1 log210=3x\log_{2}10 =3x is the same as our result. Option2 log2=3x\log2 =3x is not equivalent to our result. Option3 log23x=10\log_{2}3x =10 is not equivalent to our result. Option log3x=2\log3x =2 is not equivalent to our result.
So, the equation equivalent to 23x=102^{3x} =10 is log210=3x\log_{2}10 =3x.

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