Question

if log5 a=0 and log7 b=1,then find the value of a+b​

Answer 1

log 5 a=0 means a must be equal to 1

now,log7b=1 means 7b=10

b=7/10

a+b=1+7/10

=17/10

Answer 2

The value of a + b is equal to "(5 + $7^{10}$)".

Step-by-step explanation:

We have,

$\log_5 a=0$ and $\log_7 b=1$

To find, the value of (a + b) = ?

∴ $\log_5 a=0$

⇒ $\log_5 a=\log 1$

By logarithm property,

a = $5^{1}$

⇒ a = 5

Also,

$\log_7 b=1$

⇒ $\log_7 b=\log 10$

By logarithm property,

⇒ b = $7^{10}$

∴ a + b = 5 + $7^{10}$

Thus, the value of a + b is equal to "(5 + $7^{10}$)".