Express y in terms of x. Variables x and y are related so that, when
is plotted on the vertical axis
and
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
.
b Find the value of x when y = 11.​


y ^{2}
2 ^{x}
{2}^{x}

Answers

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

a

step-by-step explanation:

d

step-by-step explanation:

i used the pitagoras theoreme

Arectangular sheet of paper is folded diagonally from f to h . what is the length of side gh?<

the answer is d on edge

step-by-step explanation:



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