MSHS Who do you know
Name any of our current senior school captains
Manreet, Maddie, Cooper or Merin
Differentiate
y=e^(2x)
dy/dx=2e^2x
Convert the following to an exponential equation.
log_2 32=5
2^5=32
Expand the following Logarithm.
log((x^3y^4)/z^6)
3logx+4logy-6logz
Solve For X
log_4(16)=x
x=2
Name our year 7 Dean of students for 2024
Mr Malone
Differentiate
y=ln(2x+1)
dy/dx=2/(2x+1)
Convert the following to an exponential equation.
log_2 x=y
x=2y
Simplify the following logarithm.
log_3 5+5log_3 2
log_3 160
Solve for X
log_2(x)=4
x=16
Name one of our student counter officers
Sharon or Jocelyn
Differentiate and factorise your result
y=e^x/x
dy/dx=(e^x(x-1))/x^2
Convert the following to an exponential equation.
log_8 1=0
80 = 1
Simplify the following logarithm
log(a+b)+log(a)-2logc
log((a^2+ab)/c^2)
log_x(25)=2
x=5
Name our numeracy teacher aide
Tanya
Differentiate
y=e^(x^2+2x)
dy/dx=(2x+2)e^(x^2+2x)
Convert the following to an exponential equation.
log_2 (x+3)=8
2^8=x+3
Expand the following logarithm using the power and quotient rules.
log((3x^2)/(x+1)^10)
2log(3)+2log(x)-10log(x+1)
Solve for X.
log(x)+log(5)=30
x=(10^30)/5
Name the teacher who has a Tardis door painted in his classroom.
Mr Sealey
Differentiate with respect to x
y=(e^x+3)/k
dy/dx=e^x/k
Convert the following to an exponential equation.
log_7 4=x-6
7^(x-6)=4
Compress the following logarithm using the power and product rules.
log5+2logx-3log(x^2+5)
log((5x^2)/(x^2+5)^3)
Solve for X.
log(x)+log(x-2)=35
x=-5 and 7
Name the student who helped coach our year 7 Dance academy students in 2023.
Hayley
Differentiate
y=2^x
dy/dx=2^xln(x)
Convert the following to an exponential equation.
log((x)/(x+1))=4
(x)/(x+1)=10^4
Expand the following logarithm using the power and product rules.
log((x^4y^3z^5)/(w^2))
4logx+3logy+5logz-2logw
Solve for x.
ln(x)-ln(x-1)=2
x=(-e^2)/(1-e^2)