Question

log10 16 by log2 10 equals to log10 a

Answer 1

Answer:

a = 10⁴ = 10000

Step-by-step explanation:

$\log_{10}{16} \times \log_2 10 = \log_{10}2^4 \times \log_2 10\\= 4\log_{10} 2 \times \log_2 10 \\= \dfrac{4\log_{10}2}{\log_{10}2}\\=4$

So the given equation becomes

$\log_{10} a = 4 \Rightarrow a = 10^4$