Lost Logarithm III

Algebra Level 1

xy=10a,yz=10b,xz=10c \large \color{#20A900}x \color{#624F41}y=10^a, \quad \color{#624F41}y \color{#D61F06}z=10^b, \quad \color{#20A900}x \color{#D61F06}z=10^c

Consider the system of equations above, what is log x+log y+log z\log \ \color{#20A900} x +\log \ \color{#624F41}y+ \log \ \color{#D61F06}z?

Details and Assumptions:

The logarithms have base of 1010

×

Problem Loading...

Note Loading...

Set Loading...