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Property 3

If a2 =log x,...

Question

If $a^{2} = l o g x, b^{3} = l o g y$ and $3 a^{2} - 2 b^{3} = 6 l o g z$ , express y in terms of x and z.

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Solution

=log x,=log y and 3-2=6 log z
3-2=6 log z
=3logx-2logy=6logz
=log-log=log
=log=log
=
=
y=
y=

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Similar questions

a^{2} = log x, b^{3} = log y

3 a^{2} - 2 b^{3} = 6 log z

y

x

z

a^{2} = log x

b^{3} = log y

3 a^{2} - 2 b^{3} = 6 log z

, then y in terms of x and z is

y = \frac{x^{\frac{3}{2}}}{z^{m}}

m

If $a^{2} = l o g x$ , $b^{3} = l o g y$ and $\frac{a^{2}}{2} - \frac{b^{3}}{3} = l o g c$ , find c in terms of $x$ and $y$ .

a^{2} = l o g_{10} x, b^{3} = l o g_{10} y

\frac{a^{2}}{2} - \frac{b^{3}}{3} = l o g_{10^{z}}

express z in terms of x and y

\frac{l o g x}{y - z} = \frac{l o g y}{z - x} = \frac{l o g z}{x - y}

x y z = ?

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