CAIE IGCSE Mathematics Extended E2.4 Indices Ii

Covered syllabus points

[Maximum number: 1]

$2p^{1/3}=6$
Find the value of p.
p=

[Maximum number: 3]

Solve.

$\left(\frac{1}{3}\right)^{x}=9^{x+4}$

$-\frac83$ or $-2\frac23$ oe

M2 for -x=2(x+4) oe
or M1 for $(3^{-1})^x, 3^{-x}, (3^2)^{x+4}, 3^{2(x+4)}$ or $(\frac13)^{-2(x+4)}$ oe

[Maximum number: 1]

f(x)=x+1
$\mathrm{h}(x)=2^{x}$

Find x when $\mathrm{h}(x)=\frac{1}{32}$ .
x=

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