Question

simplify log 5 +3 log 2-log 10
pls kindly dont spammm​

Answer 1

Answer:

2log2

Step-by-step explanation:-

log5+log2³-log10

log(5×8÷10)

log4

2log2

Answer 2

$Given \: log 5 + 3 log 2 - log 10 \\= log 5 + log 2^{3} - log 10$

/* By Logarithmic law */

$\boxed{ \pink{ n log a = log a^{n} }}$

$= log 5 + log 8 - log 10$

$= log ( 5 \times 8 ) - log 10$

/* By Logarithmic law */

$\boxed{ \pink{ log m + log n = log ( m \times n )}}$

$= log 40 - log 10$

$= log \frac{40}{10}$

/* By Logarithmic law */

$\boxed{ \pink{ log m - log n = log \Big(\frac{m}{n}\Big)}}$

$= log 4$

Therefore.,

$\red { log 5 + 3 log 2 - log 10} \green { = log 4}$

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