Question

$$5 ^ { x } \times 2 ^ { x } \times 3 ^ { x } = 27000 , ^ { \prime } x ^ { \prime }$$

Answer

$$t=(If*5^x*2^x*3^x)/(27000*e*h*n*x'e*q*u*a*l*s)$$

Solution


Regroup terms.
\[If\times {5}^{x}\times {2}^{x}\times {3}^{x}=27000ethnx'equals\]
Divide both sides by \(27000\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000}=ethnx'equals\]
Divide both sides by \(e\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000}}{e}=thnx'equals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000}}{e}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000e}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000e}=thnx'equals\]
Divide both sides by \(h\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000e}}{h}=tnx'equals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000e}}{h}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000eh}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000eh}=tnx'equals\]
Divide both sides by \(n\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000eh}}{n}=tx'equals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000eh}}{n}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehn}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehn}=tx'equals\]
Divide both sides by \(x'e\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehn}}{x'e}=tquals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehn}}{x'e}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'e}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'e}=tquals\]
Divide both sides by \(q\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'e}}{q}=tuals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'e}}{q}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'eq}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'eq}=tuals\]
Divide both sides by \(u\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'eq}}{u}=tals\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'eq}}{u}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equ}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equ}=tals\]
Divide both sides by \(a\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equ}}{a}=tls\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equ}}{a}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equa}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equa}=tls\]
Divide both sides by \(l\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equa}}{l}=ts\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equa}}{l}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equal}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equal}=ts\]
Divide both sides by \(s\).
\[\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equal}}{s}=t\]
Simplify  \(\frac{\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equal}}{s}\)  to  \(\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equals}\).
\[\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equals}=t\]
Switch sides.
\[t=\frac{If\times {5}^{x}\times {2}^{x}\times {3}^{x}}{27000ehnx'equals}\]