Question

What is the solution to log Subscript 5 Baseline (x + 30) = 3

x = negative 95

x = negative 5

x = 5

x = 95

Answer 1

x = 95

Explanation:

Answer 2

The correct option is option (d).

Explanation:

Logarithms are used basically to express large number.

Rules:

• 
  `log_a(M.N)= log_aM+log_aN`
• 
  `log_a((M)/(N))= log_aM-log_aN`

• 
  `log_a(M^k)=klog_aM`

• 
  `log_a(1)=0`

• 
  `log_a(a)=1`

• 
  `b^{log_(b)k}=k`

• 
  `log_ab=c \Leftrightarrow b=a^c`

Here given that,

`log_5(x+30)=0`

Applying the last rule

`\Rightarrow (x+30)= 5^3`

`\Rightarrow x+30 = 125`

⇒x=125-30

⇒x=95

Therefore x=95.