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Logs help

nemanuel96

Prove that:

Log₂4^x = 2x

Any help would be greatly appreciated!

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Reply 1

the bear

Original post by nemanuel96

Prove that:

Log₂4^x = 2x

Any help would be greatly appreciated!

Posted from TSR Mobile

write 4 as 2^?...

Reply 2

gdunne42

Original post by nemanuel96

Prove that:

Log₂4^x = 2x

Any help would be greatly appreciated!

Posted from TSR Mobile

Use log laws log a^b = b log a

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Reply 3

JakeMuttitt

Original post by nemanuel96

Prove that:

Log₂4^x = 2x

Any help would be greatly appreciated!

Posted from TSR Mobile

Use your log laws

Log2(4^X)
= (X)Log2(4)
= (X)Log2(2) + (X)Log2(2)
= (X)1 + (X)1
= 2X

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Reply 4

nemanuel96

Thank you all for your contributions.

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Reply 5

username2548927

Original post by nemanuel96

Prove that:

Log₂4^x = 2x

Any help would be greatly appreciated!

Posted from TSR Mobile

Log₂4^x can also be written as
xLog₂4. Then using a rule of logs you can say that b=a^c. 4 = 2^c. c=2. So Log₂4 = 2 but you have to multiply it by x so 2x as required.

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