if 2x 3y 5z=2160 then find the value of x,y and z - Maths - Indices and Logarithms

Question

if 2x 3y 5z=2160 then find the
value of x,y and z

Lovina Kansal · Accepted Answer

Dear student
2x3y5z=21602x3y5z=2×2×2×2×3×3×3×52x3y5z=24×33×51On comparing, we get2x=24⇒x=4   Since bases are same so we can compare the powers
3y=33⇒y=35z=51⇒z=1
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if 2x.3y.5z=2160 then find the value of x,y and z.

if 2^x.3^y.5^z=2160 then find the value of x,y and z.