Question

log2base10=x ; log3base10=y ; log1.2base10=? expressed in terms of x and y​

Answer 1

Answer:

The value of log 1.2 is $2x+y-1$.

Step-by-step explanation:

The value of  $\log_{10}2=x$ and $\log _{10}3=y$ is used to obtain the value of $\log_{10}1.2$ as follows:

$\log_{10} 1.2=\log_{10} (0.3*4)\\=\log_{10} 0.3+\log_{10} 4\\=\log_{10} 3-\log_{10} 10+\log_{10} 4\\=y-1+2\log_{10} 2\\=y-1+2x\\=2x+y-1$

Therefore, the value of $\log_{10}1.2$  is $2x+y-1$.