Laws of logarithms

Please can someone explain how you get the answer which is x=log₂3

Q6.
The curve with equation y = 3 × 2x meets the curve with equation y = 15 − 2x+1 at the point P. Find, using algebra, the exact x coordinate of P.
(Total for question = 4 mark)

Reply 1

mqb2766

21

Original post by taqiyah

Please can someone explain how you get the answer which is x=log₂3

Q6.
The curve with equation y = 3 × 2x meets the curve with equation y = 15 − 2x+1 at the point P. Find, using algebra, the exact x coordinate of P.
(Total for question = 4 mark)

Youre probably missing the fact that (some of) the x's are exponents? But why not post what youve tried? You want to find the point of intersection so set the equations equal to each other and solve for x.

Reply 2

davros

16

Original post by taqiyah

Please can someone explain how you get the answer which is x=log₂3

Q6.
The curve with equation y = 3 × 2x meets the curve with equation y = 15 − 2x+1 at the point P. Find, using algebra, the exact x coordinate of P.
(Total for question = 4 mark)

Do you mean

y = 3 \times 2^x

and

y = 15 - 2^{x+1}

? You can solve these simultaneously .

Laws of logarithms

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