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hi welcome back todayamp;#39;s video should be quite straightforward if youamp;#39;re aware of these two rules the first thing to notice is that 81 and 27 are both on our three power table that means we can rewrite this as three to the power of four to the power of log base 3 of x equals 3 to the power of 3. this rule here States if we have a number raised to a power and thatamp;#39;s all raised to another Power then we can write that as the number raised to the powers multiplied together so this becomes three to the power of 4 times log base 3 of x equals 3 to the 3. and now as we have identical bases we can just set the powers equal to each other so for log base 3 of x equals three and dividing both sides by four we get that log base 3 of x equals three quarters now if we apply the second rule we get that 3 to the power of three quarters equals X therefore x equals three now Iamp;#39;m going to write this as to the power of 3 multiplied by a quarter so I can now rewrite this as 3
