Question

if 3 power x minus 1 is= 5 then find the value of x​

Answer 1

Answer:

x=1.7405

Step-by-step explanation:

Given

$3^{x} - 1 =5$

=> $3^{x} = 6$

taking log both sides

x㏒(3) = ㏒(6)                        as  ㏒ $a^{b}$ = b㏒a

now value of log 3 is 0.477

value of log 6 is 0.778

substitute the value of these in the eqn

x*(0.477)=0.778

x=0.778/0.447

x=778/447

x=1.7405

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Answer 2

Step-by-step explanation:

$x^{3} - 1= 5\\x^{3} = 5+1\\= 6\\x^{3} =6\\x = \sqrt[3]{6}$