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Mathematics 12 Online
OpenStudy (anonymous):

What is the solution?

OpenStudy (anonymous):

OpenStudy (amriju):

which number raised to the power 4 will give you 256?

jhonyy9 (jhonyy9):

do you can rewrite 256 like a power of 4 ?

OpenStudy (anonymous):

4^4

OpenStudy (amriju):

good..so what is the meaning of log?

OpenStudy (anonymous):

number is the exponent to which another fixed value

OpenStudy (amriju):

so can we write (2x-6)^4=256

OpenStudy (anonymous):

I have the answer already, bye

jhonyy9 (jhonyy9):

so what is the right answer ?

OpenStudy (anonymous):

log2x−6(256)=4⟹(2x−6)4=256⟹(2x−6)4=4^4

jhonyy9 (jhonyy9):

and x = ?

OpenStudy (anonymous):

4

jhonyy9 (jhonyy9):

not

OpenStudy (anonymous):

5

jhonyy9 (jhonyy9):

yes 5 but how you get it ?

OpenStudy (anonymous):

God told me

jhonyy9 (jhonyy9):

you need calcule it

jhonyy9 (jhonyy9):

than you see the exponents on the right side is equal with the left side 4 so than you just need make equal the numbers so in this case 2x-6=4 2x=10 x=5 hope this will help you understanding sure easy

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